Greatest Common Factor of 10499 and 10502

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 10499, 10502 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10499 and 10502 is 1.

GCF(10499,10502) = 1

GCF of 10499 and 10502

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

GCF of:
and

Greatest Common Factor of 10499 and 10502

GCF of 10499 and 10502 is 1

Prime Factorization of 10499


10499 10499
1

Prime factors of 10499 are 10499. Prime factorization of 10499 in exponential form is:

10499 = 104991

Prime Factorization of 10502


2 10502
59 5251
89 89
1

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

10502 = 21×591×891

∴ So by taking common prime factors GCF of 10499 and 10502 is 1

Greatest Common Factor of 10499 and 10502 by matching factors method

Factors of 10499

List of positive integer factors of 10499 that divides 10499 without a remainder.

1,10499

Factors of 10502

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

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

Greatest Common Factor

We found the factors and prime factorization of 10499 and 10502. The biggest common factor number is the GCF number.
So the greatest common factor 10499 and 10502 is 1.

Also check out the Least Common Multiple of 10499 and 10502

Properties of GCF 10499 and 10502

(i) The GCF of 10499 and 10502 is associative

GCF of 10499 and 10502 = GCF of 10502 and 10499

Related Greatest Common Factor of 10499

Related Greatest Common Factor of 10502

Frequently Asked Questions on GCF of 10499 and 10502

1. What is the GCF of 10499 and 10502?

Answer: GCF of 10499 and 10502 is 1.

2. What are the Factors of 10499?

Answer: Factors of 10499 are 1, 10499. There are 2 integers that are factors of 10499. The greatest factor of 10499 is 10499.

3. 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.

4. How to Find the GCF of 10499 and 10502?

Answer:

Greatest Common Factor of 10499 and 10502 = 1

Step 1: Find the prime factorization of 10499

10499 = 10499

Step 2: Find the prime factorization of 10502

10502 = 2 x 59 x 89

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10499 and 10502 is 1