What is the Greatest Common Factor of 78123 and 78135?

Greatest common factor (GCF) of 78123 and 78135 is 3.

GCF(78123,78135) = 3

We will now calculate the prime factors of 78123 and 78135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78123 and 78135.

How to find the GCF of 78123 and 78135?

We will first find the prime factorization of 78123 and 78135. After we will calculate the factors of 78123 and 78135 and find the biggest common factor number .

Step-1: Prime Factorization of 78123

Prime factors of 78123 are 3, 26041. Prime factorization of 78123 in exponential form is:

78123 = 3¹ × 26041¹

Step-2: Prime Factorization of 78135

Prime factors of 78135 are 3, 5, 5209. Prime factorization of 78135 in exponential form is:

78135 = 3¹ × 5¹ × 5209¹

Step-3: Factors of 78123

List of positive integer factors of 78123 that divides 78123 without a remainder.

1, 3, 26041

Step-4: Factors of 78135

List of positive integer factors of 78135 that divides 78123 without a remainder.

1, 3, 5, 15, 5209, 15627, 26045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78123 and 78135. The biggest common factor number is the GCF number.
So the greatest common factor 78123 and 78135 is 3.

Also check out the Least Common Multiple of 78123 and 78135