What is the Greatest Common Factor of 77454 and 77459?

Greatest common factor (GCF) of 77454 and 77459 is 1.

GCF(77454,77459) = 1

We will now calculate the prime factors of 77454 and 77459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77454 and 77459.

How to find the GCF of 77454 and 77459?

We will first find the prime factorization of 77454 and 77459. After we will calculate the factors of 77454 and 77459 and find the biggest common factor number .

Step-1: Prime Factorization of 77454

Prime factors of 77454 are 2, 3, 13, 331. Prime factorization of 77454 in exponential form is:

77454 = 2¹ × 3² × 13¹ × 331¹

Step-2: Prime Factorization of 77459

Prime factors of 77459 are 29, 2671. Prime factorization of 77459 in exponential form is:

77459 = 29¹ × 2671¹

Step-3: Factors of 77454

List of positive integer factors of 77454 that divides 77454 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 331, 662, 993, 1986, 2979, 4303, 5958, 8606, 12909, 25818, 38727

Step-4: Factors of 77459

List of positive integer factors of 77459 that divides 77454 without a remainder.

1, 29, 2671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77454 and 77459. The biggest common factor number is the GCF number.
So the greatest common factor 77454 and 77459 is 1.

Also check out the Least Common Multiple of 77454 and 77459