What is the Greatest Common Factor of 21972 and 21977?

Greatest common factor (GCF) of 21972 and 21977 is 1.

GCF(21972,21977) = 1

We will now calculate the prime factors of 21972 and 21977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21972 and 21977.

How to find the GCF of 21972 and 21977?

We will first find the prime factorization of 21972 and 21977. After we will calculate the factors of 21972 and 21977 and find the biggest common factor number .

Step-1: Prime Factorization of 21972

Prime factors of 21972 are 2, 3, 1831. Prime factorization of 21972 in exponential form is:

21972 = 2² × 3¹ × 1831¹

Step-2: Prime Factorization of 21977

Prime factors of 21977 are 21977. Prime factorization of 21977 in exponential form is:

21977 = 21977¹

Step-3: Factors of 21972

List of positive integer factors of 21972 that divides 21972 without a remainder.

1, 2, 3, 4, 6, 12, 1831, 3662, 5493, 7324, 10986

Step-4: Factors of 21977

List of positive integer factors of 21977 that divides 21972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21972 and 21977. The biggest common factor number is the GCF number.
So the greatest common factor 21972 and 21977 is 1.

Also check out the Least Common Multiple of 21972 and 21977