What is the Greatest Common Factor of 97014 and 97028?

Greatest common factor (GCF) of 97014 and 97028 is 2.

GCF(97014,97028) = 2

We will now calculate the prime factors of 97014 and 97028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97014 and 97028.

How to find the GCF of 97014 and 97028?

We will first find the prime factorization of 97014 and 97028. After we will calculate the factors of 97014 and 97028 and find the biggest common factor number .

Step-1: Prime Factorization of 97014

Prime factors of 97014 are 2, 3, 19, 23, 37. Prime factorization of 97014 in exponential form is:

97014 = 2¹ × 3¹ × 19¹ × 23¹ × 37¹

Step-2: Prime Factorization of 97028

Prime factors of 97028 are 2, 127, 191. Prime factorization of 97028 in exponential form is:

97028 = 2² × 127¹ × 191¹

Step-3: Factors of 97014

List of positive integer factors of 97014 that divides 97014 without a remainder.

1, 2, 3, 6, 19, 23, 37, 38, 46, 57, 69, 74, 111, 114, 138, 222, 437, 703, 851, 874, 1311, 1406, 1702, 2109, 2553, 2622, 4218, 5106, 16169, 32338, 48507

Step-4: Factors of 97028

List of positive integer factors of 97028 that divides 97014 without a remainder.

1, 2, 4, 127, 191, 254, 382, 508, 764, 24257, 48514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97014 and 97028. The biggest common factor number is the GCF number.
So the greatest common factor 97014 and 97028 is 2.

Also check out the Least Common Multiple of 97014 and 97028