What is the Greatest Common Factor of 84972 and 84989?

Greatest common factor (GCF) of 84972 and 84989 is 1.

GCF(84972,84989) = 1

We will now calculate the prime factors of 84972 and 84989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84972 and 84989.

How to find the GCF of 84972 and 84989?

We will first find the prime factorization of 84972 and 84989. After we will calculate the factors of 84972 and 84989 and find the biggest common factor number .

Step-1: Prime Factorization of 84972

Prime factors of 84972 are 2, 3, 73, 97. Prime factorization of 84972 in exponential form is:

84972 = 2² × 3¹ × 73¹ × 97¹

Step-2: Prime Factorization of 84989

Prime factors of 84989 are 37, 2297. Prime factorization of 84989 in exponential form is:

84989 = 37¹ × 2297¹

Step-3: Factors of 84972

List of positive integer factors of 84972 that divides 84972 without a remainder.

1, 2, 3, 4, 6, 12, 73, 97, 146, 194, 219, 291, 292, 388, 438, 582, 876, 1164, 7081, 14162, 21243, 28324, 42486

Step-4: Factors of 84989

List of positive integer factors of 84989 that divides 84972 without a remainder.

1, 37, 2297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84972 and 84989. The biggest common factor number is the GCF number.
So the greatest common factor 84972 and 84989 is 1.

Also check out the Least Common Multiple of 84972 and 84989