What is the Greatest Common Factor of 42976 and 42982?

Greatest common factor (GCF) of 42976 and 42982 is 2.

GCF(42976,42982) = 2

We will now calculate the prime factors of 42976 and 42982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42976 and 42982.

How to find the GCF of 42976 and 42982?

We will first find the prime factorization of 42976 and 42982. After we will calculate the factors of 42976 and 42982 and find the biggest common factor number .

Step-1: Prime Factorization of 42976

Prime factors of 42976 are 2, 17, 79. Prime factorization of 42976 in exponential form is:

42976 = 2⁵ × 17¹ × 79¹

Step-2: Prime Factorization of 42982

Prime factors of 42982 are 2, 21491. Prime factorization of 42982 in exponential form is:

42982 = 2¹ × 21491¹

Step-3: Factors of 42976

List of positive integer factors of 42976 that divides 42976 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 79, 136, 158, 272, 316, 544, 632, 1264, 1343, 2528, 2686, 5372, 10744, 21488

Step-4: Factors of 42982

List of positive integer factors of 42982 that divides 42976 without a remainder.

1, 2, 21491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42976 and 42982. The biggest common factor number is the GCF number.
So the greatest common factor 42976 and 42982 is 2.

Also check out the Least Common Multiple of 42976 and 42982