What is the Greatest Common Factor of 77407 and 77414?

Greatest common factor (GCF) of 77407 and 77414 is 1.

GCF(77407,77414) = 1

We will now calculate the prime factors of 77407 and 77414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77407 and 77414.

How to find the GCF of 77407 and 77414?

We will first find the prime factorization of 77407 and 77414. After we will calculate the factors of 77407 and 77414 and find the biggest common factor number .

Step-1: Prime Factorization of 77407

Prime factors of 77407 are 11, 31, 227. Prime factorization of 77407 in exponential form is:

77407 = 11¹ × 31¹ × 227¹

Step-2: Prime Factorization of 77414

Prime factors of 77414 are 2, 38707. Prime factorization of 77414 in exponential form is:

77414 = 2¹ × 38707¹

Step-3: Factors of 77407

List of positive integer factors of 77407 that divides 77407 without a remainder.

1, 11, 31, 227, 341, 2497, 7037

Step-4: Factors of 77414

List of positive integer factors of 77414 that divides 77407 without a remainder.

1, 2, 38707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77407 and 77414. The biggest common factor number is the GCF number.
So the greatest common factor 77407 and 77414 is 1.

Also check out the Least Common Multiple of 77407 and 77414