What is the Greatest Common Factor of 93968 and 93974?

Greatest common factor (GCF) of 93968 and 93974 is 2.

GCF(93968,93974) = 2

We will now calculate the prime factors of 93968 and 93974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93968 and 93974.

How to find the GCF of 93968 and 93974?

We will first find the prime factorization of 93968 and 93974. After we will calculate the factors of 93968 and 93974 and find the biggest common factor number .

Step-1: Prime Factorization of 93968

Prime factors of 93968 are 2, 7, 839. Prime factorization of 93968 in exponential form is:

93968 = 2⁴ × 7¹ × 839¹

Step-2: Prime Factorization of 93974

Prime factors of 93974 are 2, 19, 2473. Prime factorization of 93974 in exponential form is:

93974 = 2¹ × 19¹ × 2473¹

Step-3: Factors of 93968

List of positive integer factors of 93968 that divides 93968 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 839, 1678, 3356, 5873, 6712, 11746, 13424, 23492, 46984

Step-4: Factors of 93974

List of positive integer factors of 93974 that divides 93968 without a remainder.

1, 2, 19, 38, 2473, 4946, 46987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93968 and 93974. The biggest common factor number is the GCF number.
So the greatest common factor 93968 and 93974 is 2.

Also check out the Least Common Multiple of 93968 and 93974