What is the Greatest Common Factor of 78917 and 78925?

Greatest common factor (GCF) of 78917 and 78925 is 1.

GCF(78917,78925) = 1

We will now calculate the prime factors of 78917 and 78925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78917 and 78925.

How to find the GCF of 78917 and 78925?

We will first find the prime factorization of 78917 and 78925. After we will calculate the factors of 78917 and 78925 and find the biggest common factor number .

Step-1: Prime Factorization of 78917

Prime factors of 78917 are 53, 1489. Prime factorization of 78917 in exponential form is:

78917 = 53¹ × 1489¹

Step-2: Prime Factorization of 78925

Prime factors of 78925 are 5, 7, 11, 41. Prime factorization of 78925 in exponential form is:

78925 = 5² × 7¹ × 11¹ × 41¹

Step-3: Factors of 78917

List of positive integer factors of 78917 that divides 78917 without a remainder.

1, 53, 1489

Step-4: Factors of 78925

List of positive integer factors of 78925 that divides 78917 without a remainder.

1, 5, 7, 11, 25, 35, 41, 55, 77, 175, 205, 275, 287, 385, 451, 1025, 1435, 1925, 2255, 3157, 7175, 11275, 15785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78917 and 78925. The biggest common factor number is the GCF number.
So the greatest common factor 78917 and 78925 is 1.

Also check out the Least Common Multiple of 78917 and 78925