What is the Greatest Common Factor of 76416 and 76420?

Greatest common factor (GCF) of 76416 and 76420 is 4.

GCF(76416,76420) = 4

We will now calculate the prime factors of 76416 and 76420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76416 and 76420.

How to find the GCF of 76416 and 76420?

We will first find the prime factorization of 76416 and 76420. After we will calculate the factors of 76416 and 76420 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 76420

Prime factors of 76420 are 2, 5, 3821. Prime factorization of 76420 in exponential form is:

76420 = 2² × 5¹ × 3821¹

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 76420

List of positive integer factors of 76420 that divides 76416 without a remainder.

1, 2, 4, 5, 10, 20, 3821, 7642, 15284, 19105, 38210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76416 and 76420. The biggest common factor number is the GCF number.
So the greatest common factor 76416 and 76420 is 4.

Also check out the Least Common Multiple of 76416 and 76420