What is the Greatest Common Factor of 42964 and 42976?

Greatest common factor (GCF) of 42964 and 42976 is 4.

GCF(42964,42976) = 4

We will now calculate the prime factors of 42964 and 42976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42964 and 42976.

How to find the GCF of 42964 and 42976?

We will first find the prime factorization of 42964 and 42976. After we will calculate the factors of 42964 and 42976 and find the biggest common factor number .

Step-1: Prime Factorization of 42964

Prime factors of 42964 are 2, 23, 467. Prime factorization of 42964 in exponential form is:

42964 = 2² × 23¹ × 467¹

Step-2: 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-3: Factors of 42964

List of positive integer factors of 42964 that divides 42964 without a remainder.

1, 2, 4, 23, 46, 92, 467, 934, 1868, 10741, 21482

Step-4: Factors of 42976

List of positive integer factors of 42976 that divides 42964 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42964 and 42976. The biggest common factor number is the GCF number.
So the greatest common factor 42964 and 42976 is 4.

Also check out the Least Common Multiple of 42964 and 42976