What is the Greatest Common Factor of 94920 and 94929?

Greatest common factor (GCF) of 94920 and 94929 is 3.

GCF(94920,94929) = 3

We will now calculate the prime factors of 94920 and 94929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94920 and 94929.

How to find the GCF of 94920 and 94929?

We will first find the prime factorization of 94920 and 94929. After we will calculate the factors of 94920 and 94929 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 94929

Prime factors of 94929 are 3, 31643. Prime factorization of 94929 in exponential form is:

94929 = 3¹ × 31643¹

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 94929

List of positive integer factors of 94929 that divides 94920 without a remainder.

1, 3, 31643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94920 and 94929. The biggest common factor number is the GCF number.
So the greatest common factor 94920 and 94929 is 3.

Also check out the Least Common Multiple of 94920 and 94929