What is the Greatest Common Factor of 94724 and 94740?

Greatest common factor (GCF) of 94724 and 94740 is 4.

GCF(94724,94740) = 4

We will now calculate the prime factors of 94724 and 94740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94724 and 94740.

How to find the GCF of 94724 and 94740?

We will first find the prime factorization of 94724 and 94740. After we will calculate the factors of 94724 and 94740 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 94724

List of positive integer factors of 94724 that divides 94724 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

Step-4: Factors of 94740

List of positive integer factors of 94740 that divides 94724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94724 and 94740. The biggest common factor number is the GCF number.
So the greatest common factor 94724 and 94740 is 4.

Also check out the Least Common Multiple of 94724 and 94740