What is the Greatest Common Factor of 94900 and 94920?

Greatest common factor (GCF) of 94900 and 94920 is 20.

GCF(94900,94920) = 20

We will now calculate the prime factors of 94900 and 94920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94900 and 94920.

How to find the GCF of 94900 and 94920?

We will first find the prime factorization of 94900 and 94920. After we will calculate the factors of 94900 and 94920 and find the biggest common factor number .

Step-1: Prime Factorization of 94900

Prime factors of 94900 are 2, 5, 13, 73. Prime factorization of 94900 in exponential form is:

94900 = 2² × 5² × 13¹ × 73¹

Step-2: 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-3: Factors of 94900

List of positive integer factors of 94900 that divides 94900 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 73, 100, 130, 146, 260, 292, 325, 365, 650, 730, 949, 1300, 1460, 1825, 1898, 3650, 3796, 4745, 7300, 9490, 18980, 23725, 47450

Step-4: Factors of 94920

List of positive integer factors of 94920 that divides 94900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94900 and 94920. The biggest common factor number is the GCF number.
So the greatest common factor 94900 and 94920 is 20.

Also check out the Least Common Multiple of 94900 and 94920