What is the Greatest Common Factor of 94896 and 94900?

Greatest common factor (GCF) of 94896 and 94900 is 4.

GCF(94896,94900) = 4

We will now calculate the prime factors of 94896 and 94900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94896 and 94900.

How to find the GCF of 94896 and 94900?

We will first find the prime factorization of 94896 and 94900. After we will calculate the factors of 94896 and 94900 and find the biggest common factor number .

Step-1: Prime Factorization of 94896

Prime factors of 94896 are 2, 3, 659. Prime factorization of 94896 in exponential form is:

94896 = 2⁴ × 3² × 659¹

Step-2: 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-3: Factors of 94896

List of positive integer factors of 94896 that divides 94896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 659, 1318, 1977, 2636, 3954, 5272, 5931, 7908, 10544, 11862, 15816, 23724, 31632, 47448

Step-4: Factors of 94900

List of positive integer factors of 94900 that divides 94896 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94896 and 94900. The biggest common factor number is the GCF number.
So the greatest common factor 94896 and 94900 is 4.

Also check out the Least Common Multiple of 94896 and 94900