What is the Greatest Common Factor of 94900 and 94909?

Greatest common factor (GCF) of 94900 and 94909 is 1.

GCF(94900,94909) = 1

We will now calculate the prime factors of 94900 and 94909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94900 and 94909.

How to find the GCF of 94900 and 94909?

We will first find the prime factorization of 94900 and 94909. After we will calculate the factors of 94900 and 94909 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 94909

Prime factors of 94909 are 107, 887. Prime factorization of 94909 in exponential form is:

94909 = 107¹ × 887¹

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 94909

List of positive integer factors of 94909 that divides 94900 without a remainder.

1, 107, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94900 and 94909. The biggest common factor number is the GCF number.
So the greatest common factor 94900 and 94909 is 1.

Also check out the Least Common Multiple of 94900 and 94909