What is the Greatest Common Factor of 78456 and 78464?

Greatest common factor (GCF) of 78456 and 78464 is 8.

GCF(78456,78464) = 8

We will now calculate the prime factors of 78456 and 78464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78456 and 78464.

How to find the GCF of 78456 and 78464?

We will first find the prime factorization of 78456 and 78464. After we will calculate the factors of 78456 and 78464 and find the biggest common factor number .

Step-1: Prime Factorization of 78456

Prime factors of 78456 are 2, 3, 7, 467. Prime factorization of 78456 in exponential form is:

78456 = 2³ × 3¹ × 7¹ × 467¹

Step-2: Prime Factorization of 78464

Prime factors of 78464 are 2, 613. Prime factorization of 78464 in exponential form is:

78464 = 2⁷ × 613¹

Step-3: Factors of 78456

List of positive integer factors of 78456 that divides 78456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 467, 934, 1401, 1868, 2802, 3269, 3736, 5604, 6538, 9807, 11208, 13076, 19614, 26152, 39228

Step-4: Factors of 78464

List of positive integer factors of 78464 that divides 78456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 613, 1226, 2452, 4904, 9808, 19616, 39232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78456 and 78464. The biggest common factor number is the GCF number.
So the greatest common factor 78456 and 78464 is 8.

Also check out the Least Common Multiple of 78456 and 78464