What is the Greatest Common Factor of 78135 and 78154?

Greatest common factor (GCF) of 78135 and 78154 is 1.

GCF(78135,78154) = 1

We will now calculate the prime factors of 78135 and 78154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78135 and 78154.

How to find the GCF of 78135 and 78154?

We will first find the prime factorization of 78135 and 78154. After we will calculate the factors of 78135 and 78154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78154

Prime factors of 78154 are 2, 23, 1699. Prime factorization of 78154 in exponential form is:

78154 = 2¹ × 23¹ × 1699¹

Step-3: Factors of 78135

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

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

Step-4: Factors of 78154

List of positive integer factors of 78154 that divides 78135 without a remainder.

1, 2, 23, 46, 1699, 3398, 39077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78135 and 78154. The biggest common factor number is the GCF number.
So the greatest common factor 78135 and 78154 is 1.

Also check out the Least Common Multiple of 78135 and 78154