What is the Greatest Common Factor of 78464 and 78478?

Greatest common factor (GCF) of 78464 and 78478 is 2.

GCF(78464,78478) = 2

We will now calculate the prime factors of 78464 and 78478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78464 and 78478.

How to find the GCF of 78464 and 78478?

We will first find the prime factorization of 78464 and 78478. After we will calculate the factors of 78464 and 78478 and find the biggest common factor number .

Step-1: Prime Factorization of 78464

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

78464 = 2⁷ × 613¹

Step-2: Prime Factorization of 78478

Prime factors of 78478 are 2, 39239. Prime factorization of 78478 in exponential form is:

78478 = 2¹ × 39239¹

Step-3: Factors of 78464

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

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

Step-4: Factors of 78478

List of positive integer factors of 78478 that divides 78464 without a remainder.

1, 2, 39239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78464 and 78478. The biggest common factor number is the GCF number.
So the greatest common factor 78464 and 78478 is 2.

Also check out the Least Common Multiple of 78464 and 78478