What is the Greatest Common Factor of 78551 and 78564?

Greatest common factor (GCF) of 78551 and 78564 is 1.

GCF(78551,78564) = 1

We will now calculate the prime factors of 78551 and 78564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78551 and 78564.

How to find the GCF of 78551 and 78564?

We will first find the prime factorization of 78551 and 78564. After we will calculate the factors of 78551 and 78564 and find the biggest common factor number .

Step-1: Prime Factorization of 78551

Prime factors of 78551 are 11, 37, 193. Prime factorization of 78551 in exponential form is:

78551 = 11¹ × 37¹ × 193¹

Step-2: Prime Factorization of 78564

Prime factors of 78564 are 2, 3, 6547. Prime factorization of 78564 in exponential form is:

78564 = 2² × 3¹ × 6547¹

Step-3: Factors of 78551

List of positive integer factors of 78551 that divides 78551 without a remainder.

1, 11, 37, 193, 407, 2123, 7141

Step-4: Factors of 78564

List of positive integer factors of 78564 that divides 78551 without a remainder.

1, 2, 3, 4, 6, 12, 6547, 13094, 19641, 26188, 39282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78551 and 78564. The biggest common factor number is the GCF number.
So the greatest common factor 78551 and 78564 is 1.

Also check out the Least Common Multiple of 78551 and 78564