What is the Greatest Common Factor of 78576 and 78591?

Greatest common factor (GCF) of 78576 and 78591 is 3.

GCF(78576,78591) = 3

We will now calculate the prime factors of 78576 and 78591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78576 and 78591.

How to find the GCF of 78576 and 78591?

We will first find the prime factorization of 78576 and 78591. After we will calculate the factors of 78576 and 78591 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78591

Prime factors of 78591 are 3, 17, 23, 67. Prime factorization of 78591 in exponential form is:

78591 = 3¹ × 17¹ × 23¹ × 67¹

Step-3: Factors of 78576

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

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

Step-4: Factors of 78591

List of positive integer factors of 78591 that divides 78576 without a remainder.

1, 3, 17, 23, 51, 67, 69, 201, 391, 1139, 1173, 1541, 3417, 4623, 26197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78576 and 78591. The biggest common factor number is the GCF number.
So the greatest common factor 78576 and 78591 is 3.

Also check out the Least Common Multiple of 78576 and 78591