What is the Greatest Common Factor of 54987 and 55002?

Greatest common factor (GCF) of 54987 and 55002 is 3.

GCF(54987,55002) = 3

We will now calculate the prime factors of 54987 and 55002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54987 and 55002.

How to find the GCF of 54987 and 55002?

We will first find the prime factorization of 54987 and 55002. After we will calculate the factors of 54987 and 55002 and find the biggest common factor number .

Step-1: Prime Factorization of 54987

Prime factors of 54987 are 3, 18329. Prime factorization of 54987 in exponential form is:

54987 = 3¹ × 18329¹

Step-2: Prime Factorization of 55002

Prime factors of 55002 are 2, 3, 89, 103. Prime factorization of 55002 in exponential form is:

55002 = 2¹ × 3¹ × 89¹ × 103¹

Step-3: Factors of 54987

List of positive integer factors of 54987 that divides 54987 without a remainder.

1, 3, 18329

Step-4: Factors of 55002

List of positive integer factors of 55002 that divides 54987 without a remainder.

1, 2, 3, 6, 89, 103, 178, 206, 267, 309, 534, 618, 9167, 18334, 27501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54987 and 55002. The biggest common factor number is the GCF number.
So the greatest common factor 54987 and 55002 is 3.

Also check out the Least Common Multiple of 54987 and 55002