What is the Greatest Common Factor of 78567 and 78576?

Greatest common factor (GCF) of 78567 and 78576 is 3.

GCF(78567,78576) = 3

We will now calculate the prime factors of 78567 and 78576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78567 and 78576.

How to find the GCF of 78567 and 78576?

We will first find the prime factorization of 78567 and 78576. After we will calculate the factors of 78567 and 78576 and find the biggest common factor number .

Step-1: Prime Factorization of 78567

Prime factors of 78567 are 3, 26189. Prime factorization of 78567 in exponential form is:

78567 = 3¹ × 26189¹

Step-2: Prime Factorization of 78576

Prime factors of 78576 are 2, 3, 1637. Prime factorization of 78576 in exponential form is:

78576 = 2⁴ × 3¹ × 1637¹

Step-3: Factors of 78567

List of positive integer factors of 78567 that divides 78567 without a remainder.

1, 3, 26189

Step-4: Factors of 78576

List of positive integer factors of 78576 that divides 78567 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1637, 3274, 4911, 6548, 9822, 13096, 19644, 26192, 39288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78567 and 78576. The biggest common factor number is the GCF number.
So the greatest common factor 78567 and 78576 is 3.

Also check out the Least Common Multiple of 78567 and 78576