What is the Greatest Common Factor of 42972 and 42979?

Greatest common factor (GCF) of 42972 and 42979 is 1.

GCF(42972,42979) = 1

We will now calculate the prime factors of 42972 and 42979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42972 and 42979.

How to find the GCF of 42972 and 42979?

We will first find the prime factorization of 42972 and 42979. After we will calculate the factors of 42972 and 42979 and find the biggest common factor number .

Step-1: Prime Factorization of 42972

Prime factors of 42972 are 2, 3, 3581. Prime factorization of 42972 in exponential form is:

42972 = 2² × 3¹ × 3581¹

Step-2: Prime Factorization of 42979

Prime factors of 42979 are 42979. Prime factorization of 42979 in exponential form is:

42979 = 42979¹

Step-3: Factors of 42972

List of positive integer factors of 42972 that divides 42972 without a remainder.

1, 2, 3, 4, 6, 12, 3581, 7162, 10743, 14324, 21486

Step-4: Factors of 42979

List of positive integer factors of 42979 that divides 42972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42972 and 42979. The biggest common factor number is the GCF number.
So the greatest common factor 42972 and 42979 is 1.

Also check out the Least Common Multiple of 42972 and 42979