What is the Greatest Common Factor of 97119 and 97132?

Greatest common factor (GCF) of 97119 and 97132 is 1.

GCF(97119,97132) = 1

We will now calculate the prime factors of 97119 and 97132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97119 and 97132.

How to find the GCF of 97119 and 97132?

We will first find the prime factorization of 97119 and 97132. After we will calculate the factors of 97119 and 97132 and find the biggest common factor number .

Step-1: Prime Factorization of 97119

Prime factors of 97119 are 3, 11, 109. Prime factorization of 97119 in exponential form is:

97119 = 3⁴ × 11¹ × 109¹

Step-2: Prime Factorization of 97132

Prime factors of 97132 are 2, 7, 3469. Prime factorization of 97132 in exponential form is:

97132 = 2² × 7¹ × 3469¹

Step-3: Factors of 97119

List of positive integer factors of 97119 that divides 97119 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 109, 297, 327, 891, 981, 1199, 2943, 3597, 8829, 10791, 32373

Step-4: Factors of 97132

List of positive integer factors of 97132 that divides 97119 without a remainder.

1, 2, 4, 7, 14, 28, 3469, 6938, 13876, 24283, 48566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97119 and 97132. The biggest common factor number is the GCF number.
So the greatest common factor 97119 and 97132 is 1.

Also check out the Least Common Multiple of 97119 and 97132