What is the Greatest Common Factor of 97475 and 97495?

Greatest common factor (GCF) of 97475 and 97495 is 5.

GCF(97475,97495) = 5

We will now calculate the prime factors of 97475 and 97495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97475 and 97495.

How to find the GCF of 97475 and 97495?

We will first find the prime factorization of 97475 and 97495. After we will calculate the factors of 97475 and 97495 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 97495

Prime factors of 97495 are 5, 17, 31, 37. Prime factorization of 97495 in exponential form is:

97495 = 5¹ × 17¹ × 31¹ × 37¹

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 97495

List of positive integer factors of 97495 that divides 97475 without a remainder.

1, 5, 17, 31, 37, 85, 155, 185, 527, 629, 1147, 2635, 3145, 5735, 19499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97475 and 97495. The biggest common factor number is the GCF number.
So the greatest common factor 97475 and 97495 is 5.

Also check out the Least Common Multiple of 97475 and 97495