What is the Greatest Common Factor of 77408 and 77417?

Greatest common factor (GCF) of 77408 and 77417 is 1.

GCF(77408,77417) = 1

We will now calculate the prime factors of 77408 and 77417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77408 and 77417.

How to find the GCF of 77408 and 77417?

We will first find the prime factorization of 77408 and 77417. After we will calculate the factors of 77408 and 77417 and find the biggest common factor number .

Step-1: Prime Factorization of 77408

Prime factors of 77408 are 2, 41, 59. Prime factorization of 77408 in exponential form is:

77408 = 2⁵ × 41¹ × 59¹

Step-2: Prime Factorization of 77417

Prime factors of 77417 are 77417. Prime factorization of 77417 in exponential form is:

77417 = 77417¹

Step-3: Factors of 77408

List of positive integer factors of 77408 that divides 77408 without a remainder.

1, 2, 4, 8, 16, 32, 41, 59, 82, 118, 164, 236, 328, 472, 656, 944, 1312, 1888, 2419, 4838, 9676, 19352, 38704

Step-4: Factors of 77417

List of positive integer factors of 77417 that divides 77408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77408 and 77417. The biggest common factor number is the GCF number.
So the greatest common factor 77408 and 77417 is 1.

Also check out the Least Common Multiple of 77408 and 77417