What is the Greatest Common Factor of 94944 and 94960?

Greatest common factor (GCF) of 94944 and 94960 is 16.

GCF(94944,94960) = 16

We will now calculate the prime factors of 94944 and 94960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94944 and 94960.

How to find the GCF of 94944 and 94960?

We will first find the prime factorization of 94944 and 94960. After we will calculate the factors of 94944 and 94960 and find the biggest common factor number .

Step-1: Prime Factorization of 94944

Prime factors of 94944 are 2, 3, 23, 43. Prime factorization of 94944 in exponential form is:

94944 = 2⁵ × 3¹ × 23¹ × 43¹

Step-2: Prime Factorization of 94960

Prime factors of 94960 are 2, 5, 1187. Prime factorization of 94960 in exponential form is:

94960 = 2⁴ × 5¹ × 1187¹

Step-3: Factors of 94944

List of positive integer factors of 94944 that divides 94944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 43, 46, 48, 69, 86, 92, 96, 129, 138, 172, 184, 258, 276, 344, 368, 516, 552, 688, 736, 989, 1032, 1104, 1376, 1978, 2064, 2208, 2967, 3956, 4128, 5934, 7912, 11868, 15824, 23736, 31648, 47472

Step-4: Factors of 94960

List of positive integer factors of 94960 that divides 94944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1187, 2374, 4748, 5935, 9496, 11870, 18992, 23740, 47480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94944 and 94960. The biggest common factor number is the GCF number.
So the greatest common factor 94944 and 94960 is 16.

Also check out the Least Common Multiple of 94944 and 94960