What is the Greatest Common Factor of 94801 and 94813?

Greatest common factor (GCF) of 94801 and 94813 is 1.

GCF(94801,94813) = 1

We will now calculate the prime factors of 94801 and 94813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94801 and 94813.

How to find the GCF of 94801 and 94813?

We will first find the prime factorization of 94801 and 94813. After we will calculate the factors of 94801 and 94813 and find the biggest common factor number .

Step-1: Prime Factorization of 94801

Prime factors of 94801 are 7, 29, 467. Prime factorization of 94801 in exponential form is:

94801 = 7¹ × 29¹ × 467¹

Step-2: Prime Factorization of 94813

Prime factors of 94813 are 59, 1607. Prime factorization of 94813 in exponential form is:

94813 = 59¹ × 1607¹

Step-3: Factors of 94801

List of positive integer factors of 94801 that divides 94801 without a remainder.

1, 7, 29, 203, 467, 3269, 13543

Step-4: Factors of 94813

List of positive integer factors of 94813 that divides 94801 without a remainder.

1, 59, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94801 and 94813. The biggest common factor number is the GCF number.
So the greatest common factor 94801 and 94813 is 1.

Also check out the Least Common Multiple of 94801 and 94813