What is the Greatest Common Factor of 77408 and 77423?

Greatest common factor (GCF) of 77408 and 77423 is 1.

GCF(77408,77423) = 1

We will now calculate the prime factors of 77408 and 77423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77408 and 77423.

How to find the GCF of 77408 and 77423?

We will first find the prime factorization of 77408 and 77423. After we will calculate the factors of 77408 and 77423 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 77423

Prime factors of 77423 are 139, 557. Prime factorization of 77423 in exponential form is:

77423 = 139¹ × 557¹

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 77423

List of positive integer factors of 77423 that divides 77408 without a remainder.

1, 139, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77408 and 77423. The biggest common factor number is the GCF number.
So the greatest common factor 77408 and 77423 is 1.

Also check out the Least Common Multiple of 77408 and 77423