What is the Greatest Common Factor of 78464 and 78468?

Greatest common factor (GCF) of 78464 and 78468 is 4.

GCF(78464,78468) = 4

We will now calculate the prime factors of 78464 and 78468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78464 and 78468.

How to find the GCF of 78464 and 78468?

We will first find the prime factorization of 78464 and 78468. After we will calculate the factors of 78464 and 78468 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 78468

Prime factors of 78468 are 2, 3, 13, 503. Prime factorization of 78468 in exponential form is:

78468 = 2² × 3¹ × 13¹ × 503¹

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 78468

List of positive integer factors of 78468 that divides 78464 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 503, 1006, 1509, 2012, 3018, 6036, 6539, 13078, 19617, 26156, 39234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78464 and 78468. The biggest common factor number is the GCF number.
So the greatest common factor 78464 and 78468 is 4.

Also check out the Least Common Multiple of 78464 and 78468