What is the Greatest Common Factor of 78132 and 78149?

Greatest common factor (GCF) of 78132 and 78149 is 17.

GCF(78132,78149) = 17

We will now calculate the prime factors of 78132 and 78149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78132 and 78149.

How to find the GCF of 78132 and 78149?

We will first find the prime factorization of 78132 and 78149. After we will calculate the factors of 78132 and 78149 and find the biggest common factor number .

Step-1: Prime Factorization of 78132

Prime factors of 78132 are 2, 3, 17, 383. Prime factorization of 78132 in exponential form is:

78132 = 2² × 3¹ × 17¹ × 383¹

Step-2: Prime Factorization of 78149

Prime factors of 78149 are 17, 4597. Prime factorization of 78149 in exponential form is:

78149 = 17¹ × 4597¹

Step-3: Factors of 78132

List of positive integer factors of 78132 that divides 78132 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 383, 766, 1149, 1532, 2298, 4596, 6511, 13022, 19533, 26044, 39066

Step-4: Factors of 78149

List of positive integer factors of 78149 that divides 78132 without a remainder.

1, 17, 4597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78132 and 78149. The biggest common factor number is the GCF number.
So the greatest common factor 78132 and 78149 is 17.

Also check out the Least Common Multiple of 78132 and 78149