What is the Greatest Common Factor of 78914 and 78925?

Greatest common factor (GCF) of 78914 and 78925 is 11.

GCF(78914,78925) = 11

We will now calculate the prime factors of 78914 and 78925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78914 and 78925.

How to find the GCF of 78914 and 78925?

We will first find the prime factorization of 78914 and 78925. After we will calculate the factors of 78914 and 78925 and find the biggest common factor number .

Step-1: Prime Factorization of 78914

Prime factors of 78914 are 2, 11, 17, 211. Prime factorization of 78914 in exponential form is:

78914 = 2¹ × 11¹ × 17¹ × 211¹

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 78914

List of positive integer factors of 78914 that divides 78914 without a remainder.

1, 2, 11, 17, 22, 34, 187, 211, 374, 422, 2321, 3587, 4642, 7174, 39457

Step-4: Factors of 78925

List of positive integer factors of 78925 that divides 78914 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 78914 and 78925. The biggest common factor number is the GCF number.
So the greatest common factor 78914 and 78925 is 11.

Also check out the Least Common Multiple of 78914 and 78925