What is the Greatest Common Factor of 97128 and 97147?

Greatest common factor (GCF) of 97128 and 97147 is 19.

GCF(97128,97147) = 19

We will now calculate the prime factors of 97128 and 97147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97128 and 97147.

How to find the GCF of 97128 and 97147?

We will first find the prime factorization of 97128 and 97147. After we will calculate the factors of 97128 and 97147 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 97147

Prime factors of 97147 are 19, 5113. Prime factorization of 97147 in exponential form is:

97147 = 19¹ × 5113¹

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 97147

List of positive integer factors of 97147 that divides 97128 without a remainder.

1, 19, 5113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97128 and 97147. The biggest common factor number is the GCF number.
So the greatest common factor 97128 and 97147 is 19.

Also check out the Least Common Multiple of 97128 and 97147