What is the Greatest Common Factor of 84987 and 84991?

Greatest common factor (GCF) of 84987 and 84991 is 1.

GCF(84987,84991) = 1

We will now calculate the prime factors of 84987 and 84991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84987 and 84991.

How to find the GCF of 84987 and 84991?

We will first find the prime factorization of 84987 and 84991. After we will calculate the factors of 84987 and 84991 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84991

Prime factors of 84991 are 84991. Prime factorization of 84991 in exponential form is:

84991 = 84991¹

Step-3: Factors of 84987

List of positive integer factors of 84987 that divides 84987 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

Step-4: Factors of 84991

List of positive integer factors of 84991 that divides 84987 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84987 and 84991. The biggest common factor number is the GCF number.
So the greatest common factor 84987 and 84991 is 1.

Also check out the Least Common Multiple of 84987 and 84991