What is the Greatest Common Factor of 94976 and 94986?

Greatest common factor (GCF) of 94976 and 94986 is 2.

GCF(94976,94986) = 2

We will now calculate the prime factors of 94976 and 94986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94976 and 94986.

How to find the GCF of 94976 and 94986?

We will first find the prime factorization of 94976 and 94986. After we will calculate the factors of 94976 and 94986 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94986

Prime factors of 94986 are 2, 3, 1759. Prime factorization of 94986 in exponential form is:

94986 = 2¹ × 3³ × 1759¹

Step-3: Factors of 94976

List of positive integer factors of 94976 that divides 94976 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

Step-4: Factors of 94986

List of positive integer factors of 94986 that divides 94976 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1759, 3518, 5277, 10554, 15831, 31662, 47493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94976 and 94986. The biggest common factor number is the GCF number.
So the greatest common factor 94976 and 94986 is 2.

Also check out the Least Common Multiple of 94976 and 94986