What is the Greatest Common Factor of 97136 and 97142?

Greatest common factor (GCF) of 97136 and 97142 is 2.

GCF(97136,97142) = 2

We will now calculate the prime factors of 97136 and 97142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97136 and 97142.

How to find the GCF of 97136 and 97142?

We will first find the prime factorization of 97136 and 97142. After we will calculate the factors of 97136 and 97142 and find the biggest common factor number .

Step-1: Prime Factorization of 97136

Prime factors of 97136 are 2, 13, 467. Prime factorization of 97136 in exponential form is:

97136 = 2⁴ × 13¹ × 467¹

Step-2: Prime Factorization of 97142

Prime factors of 97142 are 2, 48571. Prime factorization of 97142 in exponential form is:

97142 = 2¹ × 48571¹

Step-3: Factors of 97136

List of positive integer factors of 97136 that divides 97136 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 467, 934, 1868, 3736, 6071, 7472, 12142, 24284, 48568

Step-4: Factors of 97142

List of positive integer factors of 97142 that divides 97136 without a remainder.

1, 2, 48571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97136 and 97142. The biggest common factor number is the GCF number.
So the greatest common factor 97136 and 97142 is 2.

Also check out the Least Common Multiple of 97136 and 97142