What is the Greatest Common Factor of 78612 and 78632?

Greatest common factor (GCF) of 78612 and 78632 is 4.

GCF(78612,78632) = 4

We will now calculate the prime factors of 78612 and 78632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78612 and 78632.

How to find the GCF of 78612 and 78632?

We will first find the prime factorization of 78612 and 78632. After we will calculate the factors of 78612 and 78632 and find the biggest common factor number .

Step-1: Prime Factorization of 78612

Prime factors of 78612 are 2, 3, 6551. Prime factorization of 78612 in exponential form is:

78612 = 2² × 3¹ × 6551¹

Step-2: Prime Factorization of 78632

Prime factors of 78632 are 2, 9829. Prime factorization of 78632 in exponential form is:

78632 = 2³ × 9829¹

Step-3: Factors of 78612

List of positive integer factors of 78612 that divides 78612 without a remainder.

1, 2, 3, 4, 6, 12, 6551, 13102, 19653, 26204, 39306

Step-4: Factors of 78632

List of positive integer factors of 78632 that divides 78612 without a remainder.

1, 2, 4, 8, 9829, 19658, 39316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78612 and 78632. The biggest common factor number is the GCF number.
So the greatest common factor 78612 and 78632 is 4.

Also check out the Least Common Multiple of 78612 and 78632