What is the Greatest Common Factor of 78647 and 78658?

Greatest common factor (GCF) of 78647 and 78658 is 1.

GCF(78647,78658) = 1

We will now calculate the prime factors of 78647 and 78658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78647 and 78658.

How to find the GCF of 78647 and 78658?

We will first find the prime factorization of 78647 and 78658. After we will calculate the factors of 78647 and 78658 and find the biggest common factor number .

Step-1: Prime Factorization of 78647

Prime factors of 78647 are 31, 43, 59. Prime factorization of 78647 in exponential form is:

78647 = 31¹ × 43¹ × 59¹

Step-2: Prime Factorization of 78658

Prime factors of 78658 are 2, 67, 587. Prime factorization of 78658 in exponential form is:

78658 = 2¹ × 67¹ × 587¹

Step-3: Factors of 78647

List of positive integer factors of 78647 that divides 78647 without a remainder.

1, 31, 43, 59, 1333, 1829, 2537

Step-4: Factors of 78658

List of positive integer factors of 78658 that divides 78647 without a remainder.

1, 2, 67, 134, 587, 1174, 39329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78647 and 78658. The biggest common factor number is the GCF number.
So the greatest common factor 78647 and 78658 is 1.

Also check out the Least Common Multiple of 78647 and 78658