What is the Greatest Common Factor of 94900 and 94912?

Greatest common factor (GCF) of 94900 and 94912 is 4.

GCF(94900,94912) = 4

We will now calculate the prime factors of 94900 and 94912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94900 and 94912.

How to find the GCF of 94900 and 94912?

We will first find the prime factorization of 94900 and 94912. After we will calculate the factors of 94900 and 94912 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 94912

Prime factors of 94912 are 2, 1483. Prime factorization of 94912 in exponential form is:

94912 = 2⁶ × 1483¹

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 94912

List of positive integer factors of 94912 that divides 94900 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1483, 2966, 5932, 11864, 23728, 47456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94900 and 94912. The biggest common factor number is the GCF number.
So the greatest common factor 94900 and 94912 is 4.

Also check out the Least Common Multiple of 94900 and 94912