What is the Greatest Common Factor of 78114 and 78129?

Greatest common factor (GCF) of 78114 and 78129 is 3.

GCF(78114,78129) = 3

We will now calculate the prime factors of 78114 and 78129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78114 and 78129.

How to find the GCF of 78114 and 78129?

We will first find the prime factorization of 78114 and 78129. After we will calculate the factors of 78114 and 78129 and find the biggest common factor number .

Step-1: Prime Factorization of 78114

Prime factors of 78114 are 2, 3, 47, 277. Prime factorization of 78114 in exponential form is:

78114 = 2¹ × 3¹ × 47¹ × 277¹

Step-2: Prime Factorization of 78129

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

78129 = 3² × 8681¹

Step-3: Factors of 78114

List of positive integer factors of 78114 that divides 78114 without a remainder.

1, 2, 3, 6, 47, 94, 141, 277, 282, 554, 831, 1662, 13019, 26038, 39057

Step-4: Factors of 78129

List of positive integer factors of 78129 that divides 78114 without a remainder.

1, 3, 9, 8681, 26043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78114 and 78129. The biggest common factor number is the GCF number.
So the greatest common factor 78114 and 78129 is 3.

Also check out the Least Common Multiple of 78114 and 78129