What is the Greatest Common Factor of 94935 and 94941?

Greatest common factor (GCF) of 94935 and 94941 is 3.

GCF(94935,94941) = 3

We will now calculate the prime factors of 94935 and 94941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94935 and 94941.

How to find the GCF of 94935 and 94941?

We will first find the prime factorization of 94935 and 94941. After we will calculate the factors of 94935 and 94941 and find the biggest common factor number .

Step-1: Prime Factorization of 94935

Prime factors of 94935 are 3, 5, 6329. Prime factorization of 94935 in exponential form is:

94935 = 3¹ × 5¹ × 6329¹

Step-2: Prime Factorization of 94941

Prime factors of 94941 are 3, 7, 11, 137. Prime factorization of 94941 in exponential form is:

94941 = 3² × 7¹ × 11¹ × 137¹

Step-3: Factors of 94935

List of positive integer factors of 94935 that divides 94935 without a remainder.

1, 3, 5, 15, 6329, 18987, 31645

Step-4: Factors of 94941

List of positive integer factors of 94941 that divides 94935 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 137, 231, 411, 693, 959, 1233, 1507, 2877, 4521, 8631, 10549, 13563, 31647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94935 and 94941. The biggest common factor number is the GCF number.
So the greatest common factor 94935 and 94941 is 3.

Also check out the Least Common Multiple of 94935 and 94941