What is the Greatest Common Factor of 94964 and 94976?

Greatest common factor (GCF) of 94964 and 94976 is 4.

GCF(94964,94976) = 4

We will now calculate the prime factors of 94964 and 94976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94964 and 94976.

How to find the GCF of 94964 and 94976?

We will first find the prime factorization of 94964 and 94976. After we will calculate the factors of 94964 and 94976 and find the biggest common factor number .

Step-1: Prime Factorization of 94964

Prime factors of 94964 are 2, 23741. Prime factorization of 94964 in exponential form is:

94964 = 2² × 23741¹

Step-2: Prime Factorization of 94976

Prime factors of 94976 are 2, 7, 53. Prime factorization of 94976 in exponential form is:

94976 = 2⁸ × 7¹ × 53¹

Step-3: Factors of 94964

List of positive integer factors of 94964 that divides 94964 without a remainder.

1, 2, 4, 23741, 47482

Step-4: Factors of 94976

List of positive integer factors of 94976 that divides 94964 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 128, 212, 224, 256, 371, 424, 448, 742, 848, 896, 1484, 1696, 1792, 2968, 3392, 5936, 6784, 11872, 13568, 23744, 47488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94964 and 94976. The biggest common factor number is the GCF number.
So the greatest common factor 94964 and 94976 is 4.

Also check out the Least Common Multiple of 94964 and 94976