What is the Greatest Common Factor of 34540 and 34552?

Greatest common factor (GCF) of 34540 and 34552 is 4.

GCF(34540,34552) = 4

We will now calculate the prime factors of 34540 and 34552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34540 and 34552.

How to find the GCF of 34540 and 34552?

We will first find the prime factorization of 34540 and 34552. After we will calculate the factors of 34540 and 34552 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 34552

Prime factors of 34552 are 2, 7, 617. Prime factorization of 34552 in exponential form is:

34552 = 2³ × 7¹ × 617¹

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 34552

List of positive integer factors of 34552 that divides 34540 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 617, 1234, 2468, 4319, 4936, 8638, 17276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34540 and 34552. The biggest common factor number is the GCF number.
So the greatest common factor 34540 and 34552 is 4.

Also check out the Least Common Multiple of 34540 and 34552