What is the Greatest Common Factor of 87968 and 87974?

Greatest common factor (GCF) of 87968 and 87974 is 2.

GCF(87968,87974) = 2

We will now calculate the prime factors of 87968 and 87974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87968 and 87974.

How to find the GCF of 87968 and 87974?

We will first find the prime factorization of 87968 and 87974. After we will calculate the factors of 87968 and 87974 and find the biggest common factor number .

Step-1: Prime Factorization of 87968

Prime factors of 87968 are 2, 2749. Prime factorization of 87968 in exponential form is:

87968 = 2⁵ × 2749¹

Step-2: Prime Factorization of 87974

Prime factors of 87974 are 2, 43987. Prime factorization of 87974 in exponential form is:

87974 = 2¹ × 43987¹

Step-3: Factors of 87968

List of positive integer factors of 87968 that divides 87968 without a remainder.

1, 2, 4, 8, 16, 32, 2749, 5498, 10996, 21992, 43984

Step-4: Factors of 87974

List of positive integer factors of 87974 that divides 87968 without a remainder.

1, 2, 43987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87968 and 87974. The biggest common factor number is the GCF number.
So the greatest common factor 87968 and 87974 is 2.

Also check out the Least Common Multiple of 87968 and 87974