What is the Greatest Common Factor of 94640 and 94644?

Greatest common factor (GCF) of 94640 and 94644 is 4.

GCF(94640,94644) = 4

We will now calculate the prime factors of 94640 and 94644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94640 and 94644.

How to find the GCF of 94640 and 94644?

We will first find the prime factorization of 94640 and 94644. After we will calculate the factors of 94640 and 94644 and find the biggest common factor number .

Step-1: Prime Factorization of 94640

Prime factors of 94640 are 2, 5, 7, 13. Prime factorization of 94640 in exponential form is:

94640 = 2⁴ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 94644

Prime factors of 94644 are 2, 3, 11, 239. Prime factorization of 94644 in exponential form is:

94644 = 2² × 3² × 11¹ × 239¹

Step-3: Factors of 94640

List of positive integer factors of 94640 that divides 94640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 169, 182, 208, 260, 280, 338, 364, 455, 520, 560, 676, 728, 845, 910, 1040, 1183, 1352, 1456, 1690, 1820, 2366, 2704, 3380, 3640, 4732, 5915, 6760, 7280, 9464, 11830, 13520, 18928, 23660, 47320

Step-4: Factors of 94644

List of positive integer factors of 94644 that divides 94640 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 239, 396, 478, 717, 956, 1434, 2151, 2629, 2868, 4302, 5258, 7887, 8604, 10516, 15774, 23661, 31548, 47322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94640 and 94644. The biggest common factor number is the GCF number.
So the greatest common factor 94640 and 94644 is 4.

Also check out the Least Common Multiple of 94640 and 94644