What is the Greatest Common Factor of 78945 and 78955?

Greatest common factor (GCF) of 78945 and 78955 is 5.

GCF(78945,78955) = 5

We will now calculate the prime factors of 78945 and 78955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78945 and 78955.

How to find the GCF of 78945 and 78955?

We will first find the prime factorization of 78945 and 78955. After we will calculate the factors of 78945 and 78955 and find the biggest common factor number .

Step-1: Prime Factorization of 78945

Prime factors of 78945 are 3, 5, 19, 277. Prime factorization of 78945 in exponential form is:

78945 = 3¹ × 5¹ × 19¹ × 277¹

Step-2: Prime Factorization of 78955

Prime factors of 78955 are 5, 15791. Prime factorization of 78955 in exponential form is:

78955 = 5¹ × 15791¹

Step-3: Factors of 78945

List of positive integer factors of 78945 that divides 78945 without a remainder.

1, 3, 5, 15, 19, 57, 95, 277, 285, 831, 1385, 4155, 5263, 15789, 26315

Step-4: Factors of 78955

List of positive integer factors of 78955 that divides 78945 without a remainder.

1, 5, 15791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78945 and 78955. The biggest common factor number is the GCF number.
So the greatest common factor 78945 and 78955 is 5.

Also check out the Least Common Multiple of 78945 and 78955