What is the Greatest Common Factor of 55972 and 55982?

Greatest common factor (GCF) of 55972 and 55982 is 2.

GCF(55972,55982) = 2

We will now calculate the prime factors of 55972 and 55982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55972 and 55982.

How to find the GCF of 55972 and 55982?

We will first find the prime factorization of 55972 and 55982. After we will calculate the factors of 55972 and 55982 and find the biggest common factor number .

Step-1: Prime Factorization of 55972

Prime factors of 55972 are 2, 7, 1999. Prime factorization of 55972 in exponential form is:

55972 = 2² × 7¹ × 1999¹

Step-2: Prime Factorization of 55982

Prime factors of 55982 are 2, 23, 1217. Prime factorization of 55982 in exponential form is:

55982 = 2¹ × 23¹ × 1217¹

Step-3: Factors of 55972

List of positive integer factors of 55972 that divides 55972 without a remainder.

1, 2, 4, 7, 14, 28, 1999, 3998, 7996, 13993, 27986

Step-4: Factors of 55982

List of positive integer factors of 55982 that divides 55972 without a remainder.

1, 2, 23, 46, 1217, 2434, 27991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55972 and 55982. The biggest common factor number is the GCF number.
So the greatest common factor 55972 and 55982 is 2.

Also check out the Least Common Multiple of 55972 and 55982