What is the Greatest Common Factor of 42974 and 42988?

Greatest common factor (GCF) of 42974 and 42988 is 2.

GCF(42974,42988) = 2

We will now calculate the prime factors of 42974 and 42988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42974 and 42988.

How to find the GCF of 42974 and 42988?

We will first find the prime factorization of 42974 and 42988. After we will calculate the factors of 42974 and 42988 and find the biggest common factor number .

Step-1: Prime Factorization of 42974

Prime factors of 42974 are 2, 21487. Prime factorization of 42974 in exponential form is:

42974 = 2¹ × 21487¹

Step-2: Prime Factorization of 42988

Prime factors of 42988 are 2, 11, 977. Prime factorization of 42988 in exponential form is:

42988 = 2² × 11¹ × 977¹

Step-3: Factors of 42974

List of positive integer factors of 42974 that divides 42974 without a remainder.

1, 2, 21487

Step-4: Factors of 42988

List of positive integer factors of 42988 that divides 42974 without a remainder.

1, 2, 4, 11, 22, 44, 977, 1954, 3908, 10747, 21494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42974 and 42988. The biggest common factor number is the GCF number.
So the greatest common factor 42974 and 42988 is 2.

Also check out the Least Common Multiple of 42974 and 42988