What is the Greatest Common Factor of 55970 and 55980?

Greatest common factor (GCF) of 55970 and 55980 is 10.

GCF(55970,55980) = 10

We will now calculate the prime factors of 55970 and 55980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55970 and 55980.

How to find the GCF of 55970 and 55980?

We will first find the prime factorization of 55970 and 55980. After we will calculate the factors of 55970 and 55980 and find the biggest common factor number .

Step-1: Prime Factorization of 55970

Prime factors of 55970 are 2, 5, 29, 193. Prime factorization of 55970 in exponential form is:

55970 = 2¹ × 5¹ × 29¹ × 193¹

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 55970

List of positive integer factors of 55970 that divides 55970 without a remainder.

1, 2, 5, 10, 29, 58, 145, 193, 290, 386, 965, 1930, 5597, 11194, 27985

Step-4: Factors of 55980

List of positive integer factors of 55980 that divides 55970 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 55970 and 55980. The biggest common factor number is the GCF number.
So the greatest common factor 55970 and 55980 is 10.

Also check out the Least Common Multiple of 55970 and 55980