What is the Greatest Common Factor of 94713 and 94724?

Greatest common factor (GCF) of 94713 and 94724 is 1.

GCF(94713,94724) = 1

We will now calculate the prime factors of 94713 and 94724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94713 and 94724.

How to find the GCF of 94713 and 94724?

We will first find the prime factorization of 94713 and 94724. After we will calculate the factors of 94713 and 94724 and find the biggest common factor number .

Step-1: Prime Factorization of 94713

Prime factors of 94713 are 3, 131, 241. Prime factorization of 94713 in exponential form is:

94713 = 3¹ × 131¹ × 241¹

Step-2: Prime Factorization of 94724

Prime factors of 94724 are 2, 7, 17, 199. Prime factorization of 94724 in exponential form is:

94724 = 2² × 7¹ × 17¹ × 199¹

Step-3: Factors of 94713

List of positive integer factors of 94713 that divides 94713 without a remainder.

1, 3, 131, 241, 393, 723, 31571

Step-4: Factors of 94724

List of positive integer factors of 94724 that divides 94713 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 199, 238, 398, 476, 796, 1393, 2786, 3383, 5572, 6766, 13532, 23681, 47362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94713 and 94724. The biggest common factor number is the GCF number.
So the greatest common factor 94713 and 94724 is 1.

Also check out the Least Common Multiple of 94713 and 94724