What is the Greatest Common Factor of 77425 and 77444?

Greatest common factor (GCF) of 77425 and 77444 is 19.

GCF(77425,77444) = 19

We will now calculate the prime factors of 77425 and 77444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77425 and 77444.

How to find the GCF of 77425 and 77444?

We will first find the prime factorization of 77425 and 77444. After we will calculate the factors of 77425 and 77444 and find the biggest common factor number .

Step-1: Prime Factorization of 77425

Prime factors of 77425 are 5, 19, 163. Prime factorization of 77425 in exponential form is:

77425 = 5² × 19¹ × 163¹

Step-2: Prime Factorization of 77444

Prime factors of 77444 are 2, 19, 1019. Prime factorization of 77444 in exponential form is:

77444 = 2² × 19¹ × 1019¹

Step-3: Factors of 77425

List of positive integer factors of 77425 that divides 77425 without a remainder.

1, 5, 19, 25, 95, 163, 475, 815, 3097, 4075, 15485

Step-4: Factors of 77444

List of positive integer factors of 77444 that divides 77425 without a remainder.

1, 2, 4, 19, 38, 76, 1019, 2038, 4076, 19361, 38722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77425 and 77444. The biggest common factor number is the GCF number.
So the greatest common factor 77425 and 77444 is 19.

Also check out the Least Common Multiple of 77425 and 77444