What is the Greatest Common Factor of 97014 and 97034?

Greatest common factor (GCF) of 97014 and 97034 is 2.

GCF(97014,97034) = 2

We will now calculate the prime factors of 97014 and 97034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97014 and 97034.

How to find the GCF of 97014 and 97034?

We will first find the prime factorization of 97014 and 97034. After we will calculate the factors of 97014 and 97034 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 97034

Prime factors of 97034 are 2, 7, 29, 239. Prime factorization of 97034 in exponential form is:

97034 = 2¹ × 7¹ × 29¹ × 239¹

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 97034

List of positive integer factors of 97034 that divides 97014 without a remainder.

1, 2, 7, 14, 29, 58, 203, 239, 406, 478, 1673, 3346, 6931, 13862, 48517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97014 and 97034. The biggest common factor number is the GCF number.
So the greatest common factor 97014 and 97034 is 2.

Also check out the Least Common Multiple of 97014 and 97034