What is the Greatest Common Factor of 94892 and 94909?

Greatest common factor (GCF) of 94892 and 94909 is 1.

GCF(94892,94909) = 1

We will now calculate the prime factors of 94892 and 94909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94892 and 94909.

How to find the GCF of 94892 and 94909?

We will first find the prime factorization of 94892 and 94909. After we will calculate the factors of 94892 and 94909 and find the biggest common factor number .

Step-1: Prime Factorization of 94892

Prime factors of 94892 are 2, 7, 3389. Prime factorization of 94892 in exponential form is:

94892 = 2² × 7¹ × 3389¹

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 94892

List of positive integer factors of 94892 that divides 94892 without a remainder.

1, 2, 4, 7, 14, 28, 3389, 6778, 13556, 23723, 47446

Step-4: Factors of 94909

List of positive integer factors of 94909 that divides 94892 without a remainder.

1, 107, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94892 and 94909. The biggest common factor number is the GCF number.
So the greatest common factor 94892 and 94909 is 1.

Also check out the Least Common Multiple of 94892 and 94909