What is the Greatest Common Factor of 34492 and 34504?

Greatest common factor (GCF) of 34492 and 34504 is 4.

GCF(34492,34504) = 4

We will now calculate the prime factors of 34492 and 34504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34492 and 34504.

How to find the GCF of 34492 and 34504?

We will first find the prime factorization of 34492 and 34504. After we will calculate the factors of 34492 and 34504 and find the biggest common factor number .

Step-1: Prime Factorization of 34492

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

34492 = 2² × 8623¹

Step-2: Prime Factorization of 34504

Prime factors of 34504 are 2, 19, 227. Prime factorization of 34504 in exponential form is:

34504 = 2³ × 19¹ × 227¹

Step-3: Factors of 34492

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

1, 2, 4, 8623, 17246

Step-4: Factors of 34504

List of positive integer factors of 34504 that divides 34492 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 227, 454, 908, 1816, 4313, 8626, 17252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34492 and 34504. The biggest common factor number is the GCF number.
So the greatest common factor 34492 and 34504 is 4.

Also check out the Least Common Multiple of 34492 and 34504