What is the Greatest Common Factor of 94740 and 94755?

Greatest common factor (GCF) of 94740 and 94755 is 15.

GCF(94740,94755) = 15

We will now calculate the prime factors of 94740 and 94755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94740 and 94755.

How to find the GCF of 94740 and 94755?

We will first find the prime factorization of 94740 and 94755. After we will calculate the factors of 94740 and 94755 and find the biggest common factor number .

Step-1: Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 2² × 3¹ × 5¹ × 1579¹

Step-2: Prime Factorization of 94755

Prime factors of 94755 are 3, 5, 6317. Prime factorization of 94755 in exponential form is:

94755 = 3¹ × 5¹ × 6317¹

Step-3: Factors of 94740

List of positive integer factors of 94740 that divides 94740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1579, 3158, 4737, 6316, 7895, 9474, 15790, 18948, 23685, 31580, 47370

Step-4: Factors of 94755

List of positive integer factors of 94755 that divides 94740 without a remainder.

1, 3, 5, 15, 6317, 18951, 31585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94740 and 94755. The biggest common factor number is the GCF number.
So the greatest common factor 94740 and 94755 is 15.

Also check out the Least Common Multiple of 94740 and 94755