What is the Greatest Common Factor of 78632 and 78648?

Greatest common factor (GCF) of 78632 and 78648 is 8.

GCF(78632,78648) = 8

We will now calculate the prime factors of 78632 and 78648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78632 and 78648.

How to find the GCF of 78632 and 78648?

We will first find the prime factorization of 78632 and 78648. After we will calculate the factors of 78632 and 78648 and find the biggest common factor number .

Step-1: Prime Factorization of 78632

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

78632 = 2³ × 9829¹

Step-2: Prime Factorization of 78648

Prime factors of 78648 are 2, 3, 29, 113. Prime factorization of 78648 in exponential form is:

78648 = 2³ × 3¹ × 29¹ × 113¹

Step-3: Factors of 78632

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

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

Step-4: Factors of 78648

List of positive integer factors of 78648 that divides 78632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 113, 116, 174, 226, 232, 339, 348, 452, 678, 696, 904, 1356, 2712, 3277, 6554, 9831, 13108, 19662, 26216, 39324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78632 and 78648. The biggest common factor number is the GCF number.
So the greatest common factor 78632 and 78648 is 8.

Also check out the Least Common Multiple of 78632 and 78648