What is the Greatest Common Factor of 77392 and 77408?

Greatest common factor (GCF) of 77392 and 77408 is 16.

GCF(77392,77408) = 16

We will now calculate the prime factors of 77392 and 77408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77392 and 77408.

How to find the GCF of 77392 and 77408?

We will first find the prime factorization of 77392 and 77408. After we will calculate the factors of 77392 and 77408 and find the biggest common factor number .

Step-1: Prime Factorization of 77392

Prime factors of 77392 are 2, 7, 691. Prime factorization of 77392 in exponential form is:

77392 = 2⁴ × 7¹ × 691¹

Step-2: 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-3: Factors of 77392

List of positive integer factors of 77392 that divides 77392 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 691, 1382, 2764, 4837, 5528, 9674, 11056, 19348, 38696

Step-4: Factors of 77408

List of positive integer factors of 77408 that divides 77392 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77392 and 77408. The biggest common factor number is the GCF number.
So the greatest common factor 77392 and 77408 is 16.

Also check out the Least Common Multiple of 77392 and 77408