What is the Greatest Common Factor of 97492 and 97502?

Greatest common factor (GCF) of 97492 and 97502 is 2.

GCF(97492,97502) = 2

We will now calculate the prime factors of 97492 and 97502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97492 and 97502.

How to find the GCF of 97492 and 97502?

We will first find the prime factorization of 97492 and 97502. After we will calculate the factors of 97492 and 97502 and find the biggest common factor number .

Step-1: Prime Factorization of 97492

Prime factors of 97492 are 2, 24373. Prime factorization of 97492 in exponential form is:

97492 = 2² × 24373¹

Step-2: Prime Factorization of 97502

Prime factors of 97502 are 2, 48751. Prime factorization of 97502 in exponential form is:

97502 = 2¹ × 48751¹

Step-3: Factors of 97492

List of positive integer factors of 97492 that divides 97492 without a remainder.

1, 2, 4, 24373, 48746

Step-4: Factors of 97502

List of positive integer factors of 97502 that divides 97492 without a remainder.

1, 2, 48751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97492 and 97502. The biggest common factor number is the GCF number.
So the greatest common factor 97492 and 97502 is 2.

Also check out the Least Common Multiple of 97492 and 97502