What is the Greatest Common Factor of 97475 and 97492?

Greatest common factor (GCF) of 97475 and 97492 is 1.

GCF(97475,97492) = 1

We will now calculate the prime factors of 97475 and 97492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97475 and 97492.

How to find the GCF of 97475 and 97492?

We will first find the prime factorization of 97475 and 97492. After we will calculate the factors of 97475 and 97492 and find the biggest common factor number .

Step-1: Prime Factorization of 97475

Prime factors of 97475 are 5, 7, 557. Prime factorization of 97475 in exponential form is:

97475 = 5² × 7¹ × 557¹

Step-2: Prime Factorization of 97492

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

97492 = 2² × 24373¹

Step-3: Factors of 97475

List of positive integer factors of 97475 that divides 97475 without a remainder.

1, 5, 7, 25, 35, 175, 557, 2785, 3899, 13925, 19495

Step-4: Factors of 97492

List of positive integer factors of 97492 that divides 97475 without a remainder.

1, 2, 4, 24373, 48746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97475 and 97492. The biggest common factor number is the GCF number.
So the greatest common factor 97475 and 97492 is 1.

Also check out the Least Common Multiple of 97475 and 97492