What is the Greatest Common Factor of 84979 and 84987?

Greatest common factor (GCF) of 84979 and 84987 is 1.

GCF(84979,84987) = 1

We will now calculate the prime factors of 84979 and 84987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84979 and 84987.

How to find the GCF of 84979 and 84987?

We will first find the prime factorization of 84979 and 84987. After we will calculate the factors of 84979 and 84987 and find the biggest common factor number .

Step-1: Prime Factorization of 84979

Prime factors of 84979 are 84979. Prime factorization of 84979 in exponential form is:

84979 = 84979¹

Step-2: Prime Factorization of 84987

Prime factors of 84987 are 3, 7, 19, 71. Prime factorization of 84987 in exponential form is:

84987 = 3² × 7¹ × 19¹ × 71¹

Step-3: Factors of 84979

List of positive integer factors of 84979 that divides 84979 without a remainder.

Step-4: Factors of 84987

List of positive integer factors of 84987 that divides 84979 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 71, 133, 171, 213, 399, 497, 639, 1197, 1349, 1491, 4047, 4473, 9443, 12141, 28329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84979 and 84987. The biggest common factor number is the GCF number.
So the greatest common factor 84979 and 84987 is 1.

Also check out the Least Common Multiple of 84979 and 84987