What is the Greatest Common Factor of 87992 and 87996?

Greatest common factor (GCF) of 87992 and 87996 is 4.

GCF(87992,87996) = 4

We will now calculate the prime factors of 87992 and 87996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87992 and 87996.

How to find the GCF of 87992 and 87996?

We will first find the prime factorization of 87992 and 87996. After we will calculate the factors of 87992 and 87996 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 87996

Prime factors of 87996 are 2, 3, 7333. Prime factorization of 87996 in exponential form is:

87996 = 2² × 3¹ × 7333¹

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 87996

List of positive integer factors of 87996 that divides 87992 without a remainder.

1, 2, 3, 4, 6, 12, 7333, 14666, 21999, 29332, 43998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87992 and 87996. The biggest common factor number is the GCF number.
So the greatest common factor 87992 and 87996 is 4.

Also check out the Least Common Multiple of 87992 and 87996