What is the Greatest Common Factor of 55974 and 55983?

Greatest common factor (GCF) of 55974 and 55983 is 3.

GCF(55974,55983) = 3

We will now calculate the prime factors of 55974 and 55983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55974 and 55983.

How to find the GCF of 55974 and 55983?

We will first find the prime factorization of 55974 and 55983. After we will calculate the factors of 55974 and 55983 and find the biggest common factor number .

Step-1: Prime Factorization of 55974

Prime factors of 55974 are 2, 3, 19, 491. Prime factorization of 55974 in exponential form is:

55974 = 2¹ × 3¹ × 19¹ × 491¹

Step-2: Prime Factorization of 55983

Prime factors of 55983 are 3, 18661. Prime factorization of 55983 in exponential form is:

55983 = 3¹ × 18661¹

Step-3: Factors of 55974

List of positive integer factors of 55974 that divides 55974 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 491, 982, 1473, 2946, 9329, 18658, 27987

Step-4: Factors of 55983

List of positive integer factors of 55983 that divides 55974 without a remainder.

1, 3, 18661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55974 and 55983. The biggest common factor number is the GCF number.
So the greatest common factor 55974 and 55983 is 3.

Also check out the Least Common Multiple of 55974 and 55983