Greatest Common Factor of 4264 and 4272

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 4264, 4272 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4264 and 4272 is 8.

GCF(4264,4272) = 8

GCF of 4264 and 4272

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

GCF of:
and

Greatest Common Factor of 4264 and 4272

GCF of 4264 and 4272 is 8

Prime Factorization of 4264


2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 4264 are 2,13,41. Prime factorization of 4264 in exponential form is:

4264 = 23×131×411

Prime Factorization of 4272


2 4272
2 2136
2 1068
2 534
3 267
89 89
1

Prime factors of 4272 are 2,3,89. Prime factorization of 4272 in exponential form is:

4272 = 24×31×891

∴ So by taking common prime factors GCF of 4264 and 4272 is 8

Greatest Common Factor of 4264 and 4272 by matching factors method

Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264

Factors of 4272

List of positive integer factors of 4272 that divides 4272 without a remainder.

1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272

Greatest Common Factor

We found the factors and prime factorization of 4264 and 4272. The biggest common factor number is the GCF number.
So the greatest common factor 4264 and 4272 is 8.

Also check out the Least Common Multiple of 4264 and 4272

Properties of GCF 4264 and 4272

(i) The GCF of 4264 and 4272 is associative

GCF of 4264 and 4272 = GCF of 4272 and 4264

Related Greatest Common Factor of 4264

Related Greatest Common Factor of 4272

Frequently Asked Questions on GCF of 4264 and 4272

1. What is the GCF of 4264 and 4272?

Answer: GCF of 4264 and 4272 is 8.

2. What are the Factors of 4264?

Answer: Factors of 4264 are 1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264. There are 16 integers that are factors of 4264. The greatest factor of 4264 is 4264.

3. What are the Factors of 4272?

Answer: Factors of 4272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272. There are 20 integers that are factors of 4272. The greatest factor of 4272 is 4272.

4. How to Find the GCF of 4264 and 4272?

Answer:

Greatest Common Factor of 4264 and 4272 = 8

Step 1: Find the prime factorization of 4264

4264 = 2 x 2 x 2 x 13 x 41

Step 2: Find the prime factorization of 4272

4272 = 2 x 2 x 2 x 2 x 3 x 89

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4264 and 4272 is 8