Greatest Common Factor of 89144 and 89148

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 89144, 89148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89144 and 89148 is 4.

GCF(89144,89148) = 4

GCF of 89144 and 89148

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

GCF of:
and

Greatest Common Factor of 89144 and 89148

GCF of 89144 and 89148 is 4

Prime Factorization of 89144


2 89144
2 44572
2 22286
11 11143
1013 1013
1

Prime factors of 89144 are 2,11,1013. Prime factorization of 89144 in exponential form is:

89144 = 23×111×10131

Prime Factorization of 89148


2 89148
2 44574
3 22287
17 7429
19 437
23 23
1

Prime factors of 89148 are 2,3,17,19,23. Prime factorization of 89148 in exponential form is:

89148 = 22×31×171×191×231

∴ So by taking common prime factors GCF of 89144 and 89148 is 4

Greatest Common Factor of 89144 and 89148 by matching factors method

Factors of 89144

List of positive integer factors of 89144 that divides 89144 without a remainder.

1,2,4,8,11,22,44,88,1013,2026,4052,8104,11143,22286,44572,89144

Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1,2,3,4,6,12,17,19,23,34,38,46,51,57,68,69,76,92,102,114,138,204,228,276,323,391,437,646,782,874,969,1173,1292,1311,1564,1748,1938,2346,2622,3876,4692,5244,7429,14858,22287,29716,44574,89148

Greatest Common Factor

We found the factors and prime factorization of 89144 and 89148. The biggest common factor number is the GCF number.
So the greatest common factor 89144 and 89148 is 4.

Also check out the Least Common Multiple of 89144 and 89148

Properties of GCF 89144 and 89148

(i) The GCF of 89144 and 89148 is associative

GCF of 89144 and 89148 = GCF of 89148 and 89144

Related Greatest Common Factor of 89144

Related Greatest Common Factor of 89148

Frequently Asked Questions on GCF of 89144 and 89148

1. What is the GCF of 89144 and 89148?

Answer: GCF of 89144 and 89148 is 4.

2. What are the Factors of 89144?

Answer: Factors of 89144 are 1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572, 89144. There are 16 integers that are factors of 89144. The greatest factor of 89144 is 89144.

3. What are the Factors of 89148?

Answer: Factors of 89148 are 1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574, 89148. There are 48 integers that are factors of 89148. The greatest factor of 89148 is 89148.

4. How to Find the GCF of 89144 and 89148?

Answer:

Greatest Common Factor of 89144 and 89148 = 4

Step 1: Find the prime factorization of 89144

89144 = 2 x 2 x 2 x 11 x 1013

Step 2: Find the prime factorization of 89148

89148 = 2 x 2 x 3 x 17 x 19 x 23

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 89144 and 89148 is 4