What is the Greatest Common Factor of 42974 and 42980?

Greatest common factor (GCF) of 42974 and 42980 is 2.

GCF(42974,42980) = 2

We will now calculate the prime factors of 42974 and 42980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42974 and 42980.

How to find the GCF of 42974 and 42980?

We will first find the prime factorization of 42974 and 42980. After we will calculate the factors of 42974 and 42980 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 42980

Prime factors of 42980 are 2, 5, 7, 307. Prime factorization of 42980 in exponential form is:

42980 = 2² × 5¹ × 7¹ × 307¹

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 42980

List of positive integer factors of 42980 that divides 42974 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 307, 614, 1228, 1535, 2149, 3070, 4298, 6140, 8596, 10745, 21490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42974 and 42980. The biggest common factor number is the GCF number.
So the greatest common factor 42974 and 42980 is 2.

Also check out the Least Common Multiple of 42974 and 42980