What is the Greatest Common Factor of 94720 and 94724?

Greatest common factor (GCF) of 94720 and 94724 is 4.

GCF(94720,94724) = 4

We will now calculate the prime factors of 94720 and 94724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94720 and 94724.

How to find the GCF of 94720 and 94724?

We will first find the prime factorization of 94720 and 94724. After we will calculate the factors of 94720 and 94724 and find the biggest common factor number .

Step-1: Prime Factorization of 94720

Prime factors of 94720 are 2, 5, 37. Prime factorization of 94720 in exponential form is:

94720 = 2⁹ × 5¹ × 37¹

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 94720

List of positive integer factors of 94720 that divides 94720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 256, 296, 320, 370, 512, 592, 640, 740, 1184, 1280, 1480, 2368, 2560, 2960, 4736, 5920, 9472, 11840, 18944, 23680, 47360

Step-4: Factors of 94724

List of positive integer factors of 94724 that divides 94720 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 94720 and 94724. The biggest common factor number is the GCF number.
So the greatest common factor 94720 and 94724 is 4.

Also check out the Least Common Multiple of 94720 and 94724