What is the Greatest Common Factor of 34477 and 34492?

Greatest common factor (GCF) of 34477 and 34492 is 1.

GCF(34477,34492) = 1

We will now calculate the prime factors of 34477 and 34492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34477 and 34492.

How to find the GCF of 34477 and 34492?

We will first find the prime factorization of 34477 and 34492. After we will calculate the factors of 34477 and 34492 and find the biggest common factor number .

Step-1: Prime Factorization of 34477

Prime factors of 34477 are 23, 1499. Prime factorization of 34477 in exponential form is:

34477 = 23¹ × 1499¹

Step-2: Prime Factorization of 34492

Prime factors of 34492 are 2, 8623. Prime factorization of 34492 in exponential form is:

34492 = 2² × 8623¹

Step-3: Factors of 34477

List of positive integer factors of 34477 that divides 34477 without a remainder.

1, 23, 1499

Step-4: Factors of 34492

List of positive integer factors of 34492 that divides 34477 without a remainder.

1, 2, 4, 8623, 17246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34477 and 34492. The biggest common factor number is the GCF number.
So the greatest common factor 34477 and 34492 is 1.

Also check out the Least Common Multiple of 34477 and 34492