What is the Greatest Common Factor of 76416 and 76425?

Greatest common factor (GCF) of 76416 and 76425 is 3.

GCF(76416,76425) = 3

We will now calculate the prime factors of 76416 and 76425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76416 and 76425.

How to find the GCF of 76416 and 76425?

We will first find the prime factorization of 76416 and 76425. After we will calculate the factors of 76416 and 76425 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 76425

Prime factors of 76425 are 3, 5, 1019. Prime factorization of 76425 in exponential form is:

76425 = 3¹ × 5² × 1019¹

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 76425

List of positive integer factors of 76425 that divides 76416 without a remainder.

1, 3, 5, 15, 25, 75, 1019, 3057, 5095, 15285, 25475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76416 and 76425. The biggest common factor number is the GCF number.
So the greatest common factor 76416 and 76425 is 3.

Also check out the Least Common Multiple of 76416 and 76425