Greatest Common Factor of 85268 and 85272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 85268, 85272 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 85268 and 85272 is 4.

GCF(85268,85272) = 4

GCF of 85268 and 85272

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 85268 and 85272

GCF of 85268 and 85272 is 4

Prime Factorization of 85268


2 85268
2 42634
21317 21317
1

Prime factors of 85268 are 2,21317. Prime factorization of 85268 in exponential form is:

85268 = 22×213171

Prime Factorization of 85272


2 85272
2 42636
2 21318
3 10659
11 3553
17 323
19 19
1

Prime factors of 85272 are 2,3,11,17,19. Prime factorization of 85272 in exponential form is:

85272 = 23×31×111×171×191

∴ So by taking common prime factors GCF of 85268 and 85272 is 4

Greatest Common Factor of 85268 and 85272 by matching factors method

Factors of 85268

List of positive integer factors of 85268 that divides 85268 without a remainder.

1,2,4,21317,42634,85268

Factors of 85272

List of positive integer factors of 85272 that divides 85272 without a remainder.

1,2,3,4,6,8,11,12,17,19,22,24,33,34,38,44,51,57,66,68,76,88,102,114,132,136,152,187,204,209,228,264,323,374,408,418,456,561,627,646,748,836,969,1122,1254,1292,1496,1672,1938,2244,2508,2584,3553,3876,4488,5016,7106,7752,10659,14212,21318,28424,42636,85272

Greatest Common Factor

We found the factors and prime factorization of 85268 and 85272. The biggest common factor number is the GCF number.
So the greatest common factor 85268 and 85272 is 4.

Also check out the Least Common Multiple of 85268 and 85272

Properties of GCF 85268 and 85272

(i) The GCF of 85268 and 85272 is associative

GCF of 85268 and 85272 = GCF of 85272 and 85268

Related Greatest Common Factor of 85268

Related Greatest Common Factor of 85272

Frequently Asked Questions on GCF of 85268 and 85272

1. What is the GCF of 85268 and 85272?

Answer: GCF of 85268 and 85272 is 4.

2. What are the Factors of 85268?

Answer: Factors of 85268 are 1, 2, 4, 21317, 42634, 85268. There are 6 integers that are factors of 85268. The greatest factor of 85268 is 85268.

3. What are the Factors of 85272?

Answer: Factors of 85272 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 19, 22, 24, 33, 34, 38, 44, 51, 57, 66, 68, 76, 88, 102, 114, 132, 136, 152, 187, 204, 209, 228, 264, 323, 374, 408, 418, 456, 561, 627, 646, 748, 836, 969, 1122, 1254, 1292, 1496, 1672, 1938, 2244, 2508, 2584, 3553, 3876, 4488, 5016, 7106, 7752, 10659, 14212, 21318, 28424, 42636, 85272. There are 64 integers that are factors of 85272. The greatest factor of 85272 is 85272.

4. How to Find the GCF of 85268 and 85272?

Answer:

Greatest Common Factor of 85268 and 85272 = 4

Step 1: Find the prime factorization of 85268

85268 = 2 x 2 x 21317

Step 2: Find the prime factorization of 85272

85272 = 2 x 2 x 2 x 3 x 11 x 17 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 85268 and 85272 is 4