What is the Greatest Common Factor of 97180 and 97192?

Greatest common factor (GCF) of 97180 and 97192 is 4.

GCF(97180,97192) = 4

We will now calculate the prime factors of 97180 and 97192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97180 and 97192.

How to find the GCF of 97180 and 97192?

We will first find the prime factorization of 97180 and 97192. After we will calculate the factors of 97180 and 97192 and find the biggest common factor number .

Step-1: Prime Factorization of 97180

Prime factors of 97180 are 2, 5, 43, 113. Prime factorization of 97180 in exponential form is:

97180 = 2² × 5¹ × 43¹ × 113¹

Step-2: Prime Factorization of 97192

Prime factors of 97192 are 2, 12149. Prime factorization of 97192 in exponential form is:

97192 = 2³ × 12149¹

Step-3: Factors of 97180

List of positive integer factors of 97180 that divides 97180 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 113, 172, 215, 226, 430, 452, 565, 860, 1130, 2260, 4859, 9718, 19436, 24295, 48590

Step-4: Factors of 97192

List of positive integer factors of 97192 that divides 97180 without a remainder.

1, 2, 4, 8, 12149, 24298, 48596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97180 and 97192. The biggest common factor number is the GCF number.
So the greatest common factor 97180 and 97192 is 4.

Also check out the Least Common Multiple of 97180 and 97192