What is the Greatest Common Factor of 78636 and 78644?

Greatest common factor (GCF) of 78636 and 78644 is 4.

GCF(78636,78644) = 4

We will now calculate the prime factors of 78636 and 78644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78636 and 78644.

How to find the GCF of 78636 and 78644?

We will first find the prime factorization of 78636 and 78644. After we will calculate the factors of 78636 and 78644 and find the biggest common factor number .

Step-1: Prime Factorization of 78636

Prime factors of 78636 are 2, 3, 6553. Prime factorization of 78636 in exponential form is:

78636 = 2² × 3¹ × 6553¹

Step-2: Prime Factorization of 78644

Prime factors of 78644 are 2, 19661. Prime factorization of 78644 in exponential form is:

78644 = 2² × 19661¹

Step-3: Factors of 78636

List of positive integer factors of 78636 that divides 78636 without a remainder.

1, 2, 3, 4, 6, 12, 6553, 13106, 19659, 26212, 39318

Step-4: Factors of 78644

List of positive integer factors of 78644 that divides 78636 without a remainder.

1, 2, 4, 19661, 39322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78636 and 78644. The biggest common factor number is the GCF number.
So the greatest common factor 78636 and 78644 is 4.

Also check out the Least Common Multiple of 78636 and 78644