What is the Greatest Common Factor of 78129 and 78134?

Greatest common factor (GCF) of 78129 and 78134 is 1.

GCF(78129,78134) = 1

We will now calculate the prime factors of 78129 and 78134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78129 and 78134.

How to find the GCF of 78129 and 78134?

We will first find the prime factorization of 78129 and 78134. After we will calculate the factors of 78129 and 78134 and find the biggest common factor number .

Step-1: Prime Factorization of 78129

Prime factors of 78129 are 3, 8681. Prime factorization of 78129 in exponential form is:

78129 = 3² × 8681¹

Step-2: Prime Factorization of 78134

Prime factors of 78134 are 2, 7, 5581. Prime factorization of 78134 in exponential form is:

78134 = 2¹ × 7¹ × 5581¹

Step-3: Factors of 78129

List of positive integer factors of 78129 that divides 78129 without a remainder.

1, 3, 9, 8681, 26043

Step-4: Factors of 78134

List of positive integer factors of 78134 that divides 78129 without a remainder.

1, 2, 7, 14, 5581, 11162, 39067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78129 and 78134. The biggest common factor number is the GCF number.
So the greatest common factor 78129 and 78134 is 1.

Also check out the Least Common Multiple of 78129 and 78134