What is the Greatest Common Factor of 97132 and 97149?

Greatest common factor (GCF) of 97132 and 97149 is 1.

GCF(97132,97149) = 1

We will now calculate the prime factors of 97132 and 97149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97132 and 97149.

How to find the GCF of 97132 and 97149?

We will first find the prime factorization of 97132 and 97149. After we will calculate the factors of 97132 and 97149 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97149

Prime factors of 97149 are 3, 13, 47, 53. Prime factorization of 97149 in exponential form is:

97149 = 3¹ × 13¹ × 47¹ × 53¹

Step-3: Factors of 97132

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

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

Step-4: Factors of 97149

List of positive integer factors of 97149 that divides 97132 without a remainder.

1, 3, 13, 39, 47, 53, 141, 159, 611, 689, 1833, 2067, 2491, 7473, 32383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97132 and 97149. The biggest common factor number is the GCF number.
So the greatest common factor 97132 and 97149 is 1.

Also check out the Least Common Multiple of 97132 and 97149