What is the Greatest Common Factor of 97128 and 97137?

Greatest common factor (GCF) of 97128 and 97137 is 9.

GCF(97128,97137) = 9

We will now calculate the prime factors of 97128 and 97137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97128 and 97137.

How to find the GCF of 97128 and 97137?

We will first find the prime factorization of 97128 and 97137. After we will calculate the factors of 97128 and 97137 and find the biggest common factor number .

Step-1: Prime Factorization of 97128

Prime factors of 97128 are 2, 3, 19, 71. Prime factorization of 97128 in exponential form is:

97128 = 2³ × 3² × 19¹ × 71¹

Step-2: Prime Factorization of 97137

Prime factors of 97137 are 3, 43, 251. Prime factorization of 97137 in exponential form is:

97137 = 3² × 43¹ × 251¹

Step-3: Factors of 97128

List of positive integer factors of 97128 that divides 97128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 71, 72, 76, 114, 142, 152, 171, 213, 228, 284, 342, 426, 456, 568, 639, 684, 852, 1278, 1349, 1368, 1704, 2556, 2698, 4047, 5112, 5396, 8094, 10792, 12141, 16188, 24282, 32376, 48564

Step-4: Factors of 97137

List of positive integer factors of 97137 that divides 97128 without a remainder.

1, 3, 9, 43, 129, 251, 387, 753, 2259, 10793, 32379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97128 and 97137. The biggest common factor number is the GCF number.
So the greatest common factor 97128 and 97137 is 9.

Also check out the Least Common Multiple of 97128 and 97137