What is the Greatest Common Factor of 54986 and 54996?

Greatest common factor (GCF) of 54986 and 54996 is 2.

GCF(54986,54996) = 2

We will now calculate the prime factors of 54986 and 54996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54986 and 54996.

How to find the GCF of 54986 and 54996?

We will first find the prime factorization of 54986 and 54996. After we will calculate the factors of 54986 and 54996 and find the biggest common factor number .

Step-1: Prime Factorization of 54986

Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:

54986 = 2¹ × 19¹ × 1447¹

Step-2: Prime Factorization of 54996

Prime factors of 54996 are 2, 3, 4583. Prime factorization of 54996 in exponential form is:

54996 = 2² × 3¹ × 4583¹

Step-3: Factors of 54986

List of positive integer factors of 54986 that divides 54986 without a remainder.

1, 2, 19, 38, 1447, 2894, 27493

Step-4: Factors of 54996

List of positive integer factors of 54996 that divides 54986 without a remainder.

1, 2, 3, 4, 6, 12, 4583, 9166, 13749, 18332, 27498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54986 and 54996. The biggest common factor number is the GCF number.
So the greatest common factor 54986 and 54996 is 2.

Also check out the Least Common Multiple of 54986 and 54996