What is the Greatest Common Factor of 76416 and 76432?

Greatest common factor (GCF) of 76416 and 76432 is 16.

GCF(76416,76432) = 16

We will now calculate the prime factors of 76416 and 76432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76416 and 76432.

How to find the GCF of 76416 and 76432?

We will first find the prime factorization of 76416 and 76432. After we will calculate the factors of 76416 and 76432 and find the biggest common factor number .

Step-1: Prime Factorization of 76416

Prime factors of 76416 are 2, 3, 199. Prime factorization of 76416 in exponential form is:

76416 = 2⁷ × 3¹ × 199¹

Step-2: Prime Factorization of 76432

Prime factors of 76432 are 2, 17, 281. Prime factorization of 76432 in exponential form is:

76432 = 2⁴ × 17¹ × 281¹

Step-3: Factors of 76416

List of positive integer factors of 76416 that divides 76416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 199, 384, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 6368, 9552, 12736, 19104, 25472, 38208

Step-4: Factors of 76432

List of positive integer factors of 76432 that divides 76416 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 281, 562, 1124, 2248, 4496, 4777, 9554, 19108, 38216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76416 and 76432. The biggest common factor number is the GCF number.
So the greatest common factor 76416 and 76432 is 16.

Also check out the Least Common Multiple of 76416 and 76432