What is the Greatest Common Factor of 78126 and 78134?

Greatest common factor (GCF) of 78126 and 78134 is 2.

GCF(78126,78134) = 2

We will now calculate the prime factors of 78126 and 78134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78126 and 78134.

How to find the GCF of 78126 and 78134?

We will first find the prime factorization of 78126 and 78134. After we will calculate the factors of 78126 and 78134 and find the biggest common factor number .

Step-1: Prime Factorization of 78126

Prime factors of 78126 are 2, 3, 29, 449. Prime factorization of 78126 in exponential form is:

78126 = 2¹ × 3¹ × 29¹ × 449¹

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 78126

List of positive integer factors of 78126 that divides 78126 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 449, 898, 1347, 2694, 13021, 26042, 39063

Step-4: Factors of 78134

List of positive integer factors of 78134 that divides 78126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78126 and 78134. The biggest common factor number is the GCF number.
So the greatest common factor 78126 and 78134 is 2.

Also check out the Least Common Multiple of 78126 and 78134