What is the Greatest Common Factor of 34554 and 34564?

Greatest common factor (GCF) of 34554 and 34564 is 2.

GCF(34554,34564) = 2

We will now calculate the prime factors of 34554 and 34564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34554 and 34564.

How to find the GCF of 34554 and 34564?

We will first find the prime factorization of 34554 and 34564. After we will calculate the factors of 34554 and 34564 and find the biggest common factor number .

Step-1: Prime Factorization of 34554

Prime factors of 34554 are 2, 3, 13, 443. Prime factorization of 34554 in exponential form is:

34554 = 2¹ × 3¹ × 13¹ × 443¹

Step-2: Prime Factorization of 34564

Prime factors of 34564 are 2, 8641. Prime factorization of 34564 in exponential form is:

34564 = 2² × 8641¹

Step-3: Factors of 34554

List of positive integer factors of 34554 that divides 34554 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 443, 886, 1329, 2658, 5759, 11518, 17277

Step-4: Factors of 34564

List of positive integer factors of 34564 that divides 34554 without a remainder.

1, 2, 4, 8641, 17282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34554 and 34564. The biggest common factor number is the GCF number.
So the greatest common factor 34554 and 34564 is 2.

Also check out the Least Common Multiple of 34554 and 34564