What is the Greatest Common Factor of 10502 and 10508?

Greatest common factor (GCF) of 10502 and 10508 is 2.

GCF(10502,10508) = 2

We will now calculate the prime factors of 10502 and 10508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10502 and 10508.

How to find the GCF of 10502 and 10508?

We will first find the prime factorization of 10502 and 10508. After we will calculate the factors of 10502 and 10508 and find the biggest common factor number .

Step-1: Prime Factorization of 10502

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

10502 = 2¹ × 59¹ × 89¹

Step-2: Prime Factorization of 10508

Prime factors of 10508 are 2, 37, 71. Prime factorization of 10508 in exponential form is:

10508 = 2² × 37¹ × 71¹

Step-3: Factors of 10502

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

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

Step-4: Factors of 10508

List of positive integer factors of 10508 that divides 10502 without a remainder.

1, 2, 4, 37, 71, 74, 142, 148, 284, 2627, 5254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10502 and 10508. The biggest common factor number is the GCF number.
So the greatest common factor 10502 and 10508 is 2.

Also check out the Least Common Multiple of 10502 and 10508