What is the Greatest Common Factor of 97180 and 97190?

Greatest common factor (GCF) of 97180 and 97190 is 10.

GCF(97180,97190) = 10

We will now calculate the prime factors of 97180 and 97190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97180 and 97190.

How to find the GCF of 97180 and 97190?

We will first find the prime factorization of 97180 and 97190. After we will calculate the factors of 97180 and 97190 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 97190

Prime factors of 97190 are 2, 5, 9719. Prime factorization of 97190 in exponential form is:

97190 = 2¹ × 5¹ × 9719¹

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 97190

List of positive integer factors of 97190 that divides 97180 without a remainder.

1, 2, 5, 10, 9719, 19438, 48595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97180 and 97190. The biggest common factor number is the GCF number.
So the greatest common factor 97180 and 97190 is 10.

Also check out the Least Common Multiple of 97180 and 97190