What is the Greatest Common Factor of 87992 and 88012?

Greatest common factor (GCF) of 87992 and 88012 is 4.

GCF(87992,88012) = 4

We will now calculate the prime factors of 87992 and 88012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87992 and 88012.

How to find the GCF of 87992 and 88012?

We will first find the prime factorization of 87992 and 88012. After we will calculate the factors of 87992 and 88012 and find the biggest common factor number .

Step-1: Prime Factorization of 87992

Prime factors of 87992 are 2, 17, 647. Prime factorization of 87992 in exponential form is:

87992 = 2³ × 17¹ × 647¹

Step-2: Prime Factorization of 88012

Prime factors of 88012 are 2, 22003. Prime factorization of 88012 in exponential form is:

88012 = 2² × 22003¹

Step-3: Factors of 87992

List of positive integer factors of 87992 that divides 87992 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 647, 1294, 2588, 5176, 10999, 21998, 43996

Step-4: Factors of 88012

List of positive integer factors of 88012 that divides 87992 without a remainder.

1, 2, 4, 22003, 44006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87992 and 88012. The biggest common factor number is the GCF number.
So the greatest common factor 87992 and 88012 is 4.

Also check out the Least Common Multiple of 87992 and 88012