What is the Greatest Common Factor of 34540 and 34555?

Greatest common factor (GCF) of 34540 and 34555 is 5.

GCF(34540,34555) = 5

We will now calculate the prime factors of 34540 and 34555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34540 and 34555.

How to find the GCF of 34540 and 34555?

We will first find the prime factorization of 34540 and 34555. After we will calculate the factors of 34540 and 34555 and find the biggest common factor number .

Step-1: Prime Factorization of 34540

Prime factors of 34540 are 2, 5, 11, 157. Prime factorization of 34540 in exponential form is:

34540 = 2² × 5¹ × 11¹ × 157¹

Step-2: Prime Factorization of 34555

Prime factors of 34555 are 5, 6911. Prime factorization of 34555 in exponential form is:

34555 = 5¹ × 6911¹

Step-3: Factors of 34540

List of positive integer factors of 34540 that divides 34540 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 157, 220, 314, 628, 785, 1570, 1727, 3140, 3454, 6908, 8635, 17270

Step-4: Factors of 34555

List of positive integer factors of 34555 that divides 34540 without a remainder.

1, 5, 6911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34540 and 34555. The biggest common factor number is the GCF number.
So the greatest common factor 34540 and 34555 is 5.

Also check out the Least Common Multiple of 34540 and 34555