Greatest Common Factor of 88498 and 88502

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 88498, 88502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 88498 and 88502 is 2.

GCF(88498,88502) = 2

GCF of 88498 and 88502

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

GCF of:
and

Greatest Common Factor of 88498 and 88502

GCF of 88498 and 88502 is 2

Prime Factorization of 88498


2 88498
44249 44249
1

Prime factors of 88498 are 2,44249. Prime factorization of 88498 in exponential form is:

88498 = 21×442491

Prime Factorization of 88502


2 88502
17 44251
19 2603
137 137
1

Prime factors of 88502 are 2,17,19,137. Prime factorization of 88502 in exponential form is:

88502 = 21×171×191×1371

∴ So by taking common prime factors GCF of 88498 and 88502 is 2

Greatest Common Factor of 88498 and 88502 by matching factors method

Factors of 88498

List of positive integer factors of 88498 that divides 88498 without a remainder.

1,2,44249,88498

Factors of 88502

List of positive integer factors of 88502 that divides 88502 without a remainder.

1,2,17,19,34,38,137,274,323,646,2329,2603,4658,5206,44251,88502

Greatest Common Factor

We found the factors and prime factorization of 88498 and 88502. The biggest common factor number is the GCF number.
So the greatest common factor 88498 and 88502 is 2.

Also check out the Least Common Multiple of 88498 and 88502

Properties of GCF 88498 and 88502

(i) The GCF of 88498 and 88502 is associative

GCF of 88498 and 88502 = GCF of 88502 and 88498

Frequently Asked Questions on GCF of 88498 and 88502

1. What is the GCF of 88498 and 88502?

Answer: GCF of 88498 and 88502 is 2.

2. What are the Factors of 88498?

Answer: Factors of 88498 are 1, 2, 44249, 88498. There are 4 integers that are factors of 88498. The greatest factor of 88498 is 88498.

3. What are the Factors of 88502?

Answer: Factors of 88502 are 1, 2, 17, 19, 34, 38, 137, 274, 323, 646, 2329, 2603, 4658, 5206, 44251, 88502. There are 16 integers that are factors of 88502. The greatest factor of 88502 is 88502.

4. How to Find the GCF of 88498 and 88502?

Answer:

Greatest Common Factor of 88498 and 88502 = 2

Step 1: Find the prime factorization of 88498

88498 = 2 x 44249

Step 2: Find the prime factorization of 88502

88502 = 2 x 17 x 19 x 137

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

GCF = 2

Step 4: Therefore, the greatest common factor of 88498 and 88502 is 2