What is the Greatest Common Factor of 94920 and 94928?

Greatest common factor (GCF) of 94920 and 94928 is 8.

GCF(94920,94928) = 8

We will now calculate the prime factors of 94920 and 94928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94920 and 94928.

How to find the GCF of 94920 and 94928?

We will first find the prime factorization of 94920 and 94928. After we will calculate the factors of 94920 and 94928 and find the biggest common factor number .

Step-1: Prime Factorization of 94920

Prime factors of 94920 are 2, 3, 5, 7, 113. Prime factorization of 94920 in exponential form is:

94920 = 2³ × 3¹ × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 94928

Prime factors of 94928 are 2, 17, 349. Prime factorization of 94928 in exponential form is:

94928 = 2⁴ × 17¹ × 349¹

Step-3: Factors of 94920

List of positive integer factors of 94920 that divides 94920 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 113, 120, 140, 168, 210, 226, 280, 339, 420, 452, 565, 678, 791, 840, 904, 1130, 1356, 1582, 1695, 2260, 2373, 2712, 3164, 3390, 3955, 4520, 4746, 6328, 6780, 7910, 9492, 11865, 13560, 15820, 18984, 23730, 31640, 47460

Step-4: Factors of 94928

List of positive integer factors of 94928 that divides 94920 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 349, 698, 1396, 2792, 5584, 5933, 11866, 23732, 47464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94920 and 94928. The biggest common factor number is the GCF number.
So the greatest common factor 94920 and 94928 is 8.

Also check out the Least Common Multiple of 94920 and 94928