What is the Greatest Common Factor of 94900 and 94916?

Greatest common factor (GCF) of 94900 and 94916 is 4.

GCF(94900,94916) = 4

We will now calculate the prime factors of 94900 and 94916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94900 and 94916.

How to find the GCF of 94900 and 94916?

We will first find the prime factorization of 94900 and 94916. After we will calculate the factors of 94900 and 94916 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 94916

Prime factors of 94916 are 2, 61, 389. Prime factorization of 94916 in exponential form is:

94916 = 2² × 61¹ × 389¹

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 94916

List of positive integer factors of 94916 that divides 94900 without a remainder.

1, 2, 4, 61, 122, 244, 389, 778, 1556, 23729, 47458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94900 and 94916. The biggest common factor number is the GCF number.
So the greatest common factor 94900 and 94916 is 4.

Also check out the Least Common Multiple of 94900 and 94916