What is the Greatest Common Factor of 55974 and 55980?

Greatest common factor (GCF) of 55974 and 55980 is 6.

GCF(55974,55980) = 6

We will now calculate the prime factors of 55974 and 55980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55974 and 55980.

How to find the GCF of 55974 and 55980?

We will first find the prime factorization of 55974 and 55980. After we will calculate the factors of 55974 and 55980 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 55980

Prime factors of 55980 are 2, 3, 5, 311. Prime factorization of 55980 in exponential form is:

55980 = 2² × 3² × 5¹ × 311¹

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 55980

List of positive integer factors of 55980 that divides 55974 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 311, 622, 933, 1244, 1555, 1866, 2799, 3110, 3732, 4665, 5598, 6220, 9330, 11196, 13995, 18660, 27990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55974 and 55980. The biggest common factor number is the GCF number.
So the greatest common factor 55974 and 55980 is 6.

Also check out the Least Common Multiple of 55974 and 55980