Greatest Common Factor of 10502 and 10504

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 10502, 10504 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10502 and 10504 is 2.

GCF(10502,10504) = 2

GCF of 10502 and 10504

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

GCF of:
and

Greatest Common Factor of 10502 and 10504

GCF of 10502 and 10504 is 2

Prime Factorization of 10502


2 10502
59 5251
89 89
1

Prime factors of 10502 are 2,59,89. Prime factorization of 10502 in exponential form is:

10502 = 21×591×891

Prime Factorization of 10504


2 10504
2 5252
2 2626
13 1313
101 101
1

Prime factors of 10504 are 2,13,101. Prime factorization of 10504 in exponential form is:

10504 = 23×131×1011

∴ So by taking common prime factors GCF of 10502 and 10504 is 2

Greatest Common Factor of 10502 and 10504 by matching factors method

Factors of 10502

List of positive integer factors of 10502 that divides 10502 without a remainder.

1,2,59,89,118,178,5251,10502

Factors of 10504

List of positive integer factors of 10504 that divides 10504 without a remainder.

1,2,4,8,13,26,52,101,104,202,404,808,1313,2626,5252,10504

Greatest Common Factor

We found the factors and prime factorization of 10502 and 10504. The biggest common factor number is the GCF number.
So the greatest common factor 10502 and 10504 is 2.

Also check out the Least Common Multiple of 10502 and 10504

Properties of GCF 10502 and 10504

(i) The GCF of 10502 and 10504 is associative

GCF of 10502 and 10504 = GCF of 10504 and 10502

Related Greatest Common Factor of 10502

Related Greatest Common Factor of 10504

Frequently Asked Questions on GCF of 10502 and 10504

1. What is the GCF of 10502 and 10504?

Answer: GCF of 10502 and 10504 is 2.

2. What are the Factors of 10502?

Answer: Factors of 10502 are 1, 2, 59, 89, 118, 178, 5251, 10502. There are 8 integers that are factors of 10502. The greatest factor of 10502 is 10502.

3. What are the Factors of 10504?

Answer: Factors of 10504 are 1, 2, 4, 8, 13, 26, 52, 101, 104, 202, 404, 808, 1313, 2626, 5252, 10504. There are 16 integers that are factors of 10504. The greatest factor of 10504 is 10504.

4. How to Find the GCF of 10502 and 10504?

Answer:

Greatest Common Factor of 10502 and 10504 = 2

Step 1: Find the prime factorization of 10502

10502 = 2 x 59 x 89

Step 2: Find the prime factorization of 10504

10504 = 2 x 2 x 2 x 13 x 101

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 10502 and 10504 is 2