What is the Greatest Common Factor of 87972 and 87987?

Greatest common factor (GCF) of 87972 and 87987 is 3.

GCF(87972,87987) = 3

We will now calculate the prime factors of 87972 and 87987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87972 and 87987.

How to find the GCF of 87972 and 87987?

We will first find the prime factorization of 87972 and 87987. After we will calculate the factors of 87972 and 87987 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87987

Prime factors of 87987 are 3, 139, 211. Prime factorization of 87987 in exponential form is:

87987 = 3¹ × 139¹ × 211¹

Step-3: Factors of 87972

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

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

Step-4: Factors of 87987

List of positive integer factors of 87987 that divides 87972 without a remainder.

1, 3, 139, 211, 417, 633, 29329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87972 and 87987. The biggest common factor number is the GCF number.
So the greatest common factor 87972 and 87987 is 3.

Also check out the Least Common Multiple of 87972 and 87987