What is the Greatest Common Factor of 87972 and 87989?

Greatest common factor (GCF) of 87972 and 87989 is 1.

GCF(87972,87989) = 1

We will now calculate the prime factors of 87972 and 87989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87972 and 87989.

How to find the GCF of 87972 and 87989?

We will first find the prime factorization of 87972 and 87989. After we will calculate the factors of 87972 and 87989 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 87989

Prime factors of 87989 are 11, 19, 421. Prime factorization of 87989 in exponential form is:

87989 = 11¹ × 19¹ × 421¹

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 87989

List of positive integer factors of 87989 that divides 87972 without a remainder.

1, 11, 19, 209, 421, 4631, 7999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87972 and 87989. The biggest common factor number is the GCF number.
So the greatest common factor 87972 and 87989 is 1.

Also check out the Least Common Multiple of 87972 and 87989