What is the Greatest Common Factor of 74477 and 74489?

Greatest common factor (GCF) of 74477 and 74489 is 1.

GCF(74477,74489) = 1

We will now calculate the prime factors of 74477 and 74489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74477 and 74489.

How to find the GCF of 74477 and 74489?

We will first find the prime factorization of 74477 and 74489. After we will calculate the factors of 74477 and 74489 and find the biggest common factor number .

Step-1: Prime Factorization of 74477

Prime factors of 74477 are 13, 17, 337. Prime factorization of 74477 in exponential form is:

74477 = 13¹ × 17¹ × 337¹

Step-2: Prime Factorization of 74489

Prime factors of 74489 are 74489. Prime factorization of 74489 in exponential form is:

74489 = 74489¹

Step-3: Factors of 74477

List of positive integer factors of 74477 that divides 74477 without a remainder.

1, 13, 17, 221, 337, 4381, 5729

Step-4: Factors of 74489

List of positive integer factors of 74489 that divides 74477 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74477 and 74489. The biggest common factor number is the GCF number.
So the greatest common factor 74477 and 74489 is 1.

Also check out the Least Common Multiple of 74477 and 74489