What is the Greatest Common Factor of 97139 and 97148?

Greatest common factor (GCF) of 97139 and 97148 is 1.

GCF(97139,97148) = 1

We will now calculate the prime factors of 97139 and 97148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97139 and 97148.

How to find the GCF of 97139 and 97148?

We will first find the prime factorization of 97139 and 97148. After we will calculate the factors of 97139 and 97148 and find the biggest common factor number .

Step-1: Prime Factorization of 97139

Prime factors of 97139 are 7, 13877. Prime factorization of 97139 in exponential form is:

97139 = 7¹ × 13877¹

Step-2: Prime Factorization of 97148

Prime factors of 97148 are 2, 149, 163. Prime factorization of 97148 in exponential form is:

97148 = 2² × 149¹ × 163¹

Step-3: Factors of 97139

List of positive integer factors of 97139 that divides 97139 without a remainder.

1, 7, 13877

Step-4: Factors of 97148

List of positive integer factors of 97148 that divides 97139 without a remainder.

1, 2, 4, 149, 163, 298, 326, 596, 652, 24287, 48574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97139 and 97148. The biggest common factor number is the GCF number.
So the greatest common factor 97139 and 97148 is 1.

Also check out the Least Common Multiple of 97139 and 97148