What is the Greatest Common Factor of 97409 and 97422?

Greatest common factor (GCF) of 97409 and 97422 is 13.

GCF(97409,97422) = 13

We will now calculate the prime factors of 97409 and 97422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97409 and 97422.

How to find the GCF of 97409 and 97422?

We will first find the prime factorization of 97409 and 97422. After we will calculate the factors of 97409 and 97422 and find the biggest common factor number .

Step-1: Prime Factorization of 97409

Prime factors of 97409 are 13, 59, 127. Prime factorization of 97409 in exponential form is:

97409 = 13¹ × 59¹ × 127¹

Step-2: Prime Factorization of 97422

Prime factors of 97422 are 2, 3, 13, 1249. Prime factorization of 97422 in exponential form is:

97422 = 2¹ × 3¹ × 13¹ × 1249¹

Step-3: Factors of 97409

List of positive integer factors of 97409 that divides 97409 without a remainder.

1, 13, 59, 127, 767, 1651, 7493

Step-4: Factors of 97422

List of positive integer factors of 97422 that divides 97409 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1249, 2498, 3747, 7494, 16237, 32474, 48711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97409 and 97422. The biggest common factor number is the GCF number.
So the greatest common factor 97409 and 97422 is 13.

Also check out the Least Common Multiple of 97409 and 97422