What is the Greatest Common Factor of 94725 and 94736?

Greatest common factor (GCF) of 94725 and 94736 is 1.

GCF(94725,94736) = 1

We will now calculate the prime factors of 94725 and 94736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94725 and 94736.

How to find the GCF of 94725 and 94736?

We will first find the prime factorization of 94725 and 94736. After we will calculate the factors of 94725 and 94736 and find the biggest common factor number .

Step-1: Prime Factorization of 94725

Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:

94725 = 3² × 5² × 421¹

Step-2: Prime Factorization of 94736

Prime factors of 94736 are 2, 31, 191. Prime factorization of 94736 in exponential form is:

94736 = 2⁴ × 31¹ × 191¹

Step-3: Factors of 94725

List of positive integer factors of 94725 that divides 94725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 421, 1263, 2105, 3789, 6315, 10525, 18945, 31575

Step-4: Factors of 94736

List of positive integer factors of 94736 that divides 94725 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 191, 248, 382, 496, 764, 1528, 3056, 5921, 11842, 23684, 47368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94725 and 94736. The biggest common factor number is the GCF number.
So the greatest common factor 94725 and 94736 is 1.

Also check out the Least Common Multiple of 94725 and 94736