What is the Greatest Common Factor of 77408 and 77416?

Greatest common factor (GCF) of 77408 and 77416 is 8.

GCF(77408,77416) = 8

We will now calculate the prime factors of 77408 and 77416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77408 and 77416.

How to find the GCF of 77408 and 77416?

We will first find the prime factorization of 77408 and 77416. After we will calculate the factors of 77408 and 77416 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 77416

Prime factors of 77416 are 2, 9677. Prime factorization of 77416 in exponential form is:

77416 = 2³ × 9677¹

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 77416

List of positive integer factors of 77416 that divides 77408 without a remainder.

1, 2, 4, 8, 9677, 19354, 38708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77408 and 77416. The biggest common factor number is the GCF number.
So the greatest common factor 77408 and 77416 is 8.

Also check out the Least Common Multiple of 77408 and 77416