What is the Greatest Common Factor of 87968 and 87972?

Greatest common factor (GCF) of 87968 and 87972 is 4.

GCF(87968,87972) = 4

We will now calculate the prime factors of 87968 and 87972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87968 and 87972.

How to find the GCF of 87968 and 87972?

We will first find the prime factorization of 87968 and 87972. After we will calculate the factors of 87968 and 87972 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 87972

Prime factors of 87972 are 2, 3, 7331. Prime factorization of 87972 in exponential form is:

87972 = 2² × 3¹ × 7331¹

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 87972

List of positive integer factors of 87972 that divides 87968 without a remainder.

1, 2, 3, 4, 6, 12, 7331, 14662, 21993, 29324, 43986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87968 and 87972. The biggest common factor number is the GCF number.
So the greatest common factor 87968 and 87972 is 4.

Also check out the Least Common Multiple of 87968 and 87972