What is the Greatest Common Factor of 76416 and 76431?

Greatest common factor (GCF) of 76416 and 76431 is 3.

GCF(76416,76431) = 3

We will now calculate the prime factors of 76416 and 76431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76416 and 76431.

How to find the GCF of 76416 and 76431?

We will first find the prime factorization of 76416 and 76431. After we will calculate the factors of 76416 and 76431 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 76431

Prime factors of 76431 are 3, 73, 349. Prime factorization of 76431 in exponential form is:

76431 = 3¹ × 73¹ × 349¹

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 76431

List of positive integer factors of 76431 that divides 76416 without a remainder.

1, 3, 73, 219, 349, 1047, 25477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76416 and 76431. The biggest common factor number is the GCF number.
So the greatest common factor 76416 and 76431 is 3.

Also check out the Least Common Multiple of 76416 and 76431