What is the Greatest Common Factor of 97619 and 97637?

Greatest common factor (GCF) of 97619 and 97637 is 1.

GCF(97619,97637) = 1

We will now calculate the prime factors of 97619 and 97637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97619 and 97637.

How to find the GCF of 97619 and 97637?

We will first find the prime factorization of 97619 and 97637. After we will calculate the factors of 97619 and 97637 and find the biggest common factor number .

Step-1: Prime Factorization of 97619

Prime factors of 97619 are 31, 47, 67. Prime factorization of 97619 in exponential form is:

97619 = 31¹ × 47¹ × 67¹

Step-2: Prime Factorization of 97637

Prime factors of 97637 are 163, 599. Prime factorization of 97637 in exponential form is:

97637 = 163¹ × 599¹

Step-3: Factors of 97619

List of positive integer factors of 97619 that divides 97619 without a remainder.

1, 31, 47, 67, 1457, 2077, 3149

Step-4: Factors of 97637

List of positive integer factors of 97637 that divides 97619 without a remainder.

1, 163, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97619 and 97637. The biggest common factor number is the GCF number.
So the greatest common factor 97619 and 97637 is 1.

Also check out the Least Common Multiple of 97619 and 97637