What is the Greatest Common Factor of 97180 and 97188?

Greatest common factor (GCF) of 97180 and 97188 is 4.

GCF(97180,97188) = 4

We will now calculate the prime factors of 97180 and 97188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97180 and 97188.

How to find the GCF of 97180 and 97188?

We will first find the prime factorization of 97180 and 97188. After we will calculate the factors of 97180 and 97188 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 97188

Prime factors of 97188 are 2, 3, 7, 13, 89. Prime factorization of 97188 in exponential form is:

97188 = 2² × 3¹ × 7¹ × 13¹ × 89¹

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 97188

List of positive integer factors of 97188 that divides 97180 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 89, 91, 156, 178, 182, 267, 273, 356, 364, 534, 546, 623, 1068, 1092, 1157, 1246, 1869, 2314, 2492, 3471, 3738, 4628, 6942, 7476, 8099, 13884, 16198, 24297, 32396, 48594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97180 and 97188. The biggest common factor number is the GCF number.
So the greatest common factor 97180 and 97188 is 4.

Also check out the Least Common Multiple of 97180 and 97188