What is the Greatest Common Factor of 84987 and 84999?

Greatest common factor (GCF) of 84987 and 84999 is 3.

GCF(84987,84999) = 3

We will now calculate the prime factors of 84987 and 84999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84987 and 84999.

How to find the GCF of 84987 and 84999?

We will first find the prime factorization of 84987 and 84999. After we will calculate the factors of 84987 and 84999 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 84999

Prime factors of 84999 are 3, 29, 977. Prime factorization of 84999 in exponential form is:

84999 = 3¹ × 29¹ × 977¹

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 84999

List of positive integer factors of 84999 that divides 84987 without a remainder.

1, 3, 29, 87, 977, 2931, 28333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84987 and 84999. The biggest common factor number is the GCF number.
So the greatest common factor 84987 and 84999 is 3.

Also check out the Least Common Multiple of 84987 and 84999