What is the Greatest Common Factor of 10502 and 10510?

Greatest common factor (GCF) of 10502 and 10510 is 2.

GCF(10502,10510) = 2

We will now calculate the prime factors of 10502 and 10510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10502 and 10510.

How to find the GCF of 10502 and 10510?

We will first find the prime factorization of 10502 and 10510. After we will calculate the factors of 10502 and 10510 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 10510

Prime factors of 10510 are 2, 5, 1051. Prime factorization of 10510 in exponential form is:

10510 = 2¹ × 5¹ × 1051¹

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 10510

List of positive integer factors of 10510 that divides 10502 without a remainder.

1, 2, 5, 10, 1051, 2102, 5255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10502 and 10510. The biggest common factor number is the GCF number.
So the greatest common factor 10502 and 10510 is 2.

Also check out the Least Common Multiple of 10502 and 10510