What is the Greatest Common Factor of 34529 and 34540?

Greatest common factor (GCF) of 34529 and 34540 is 11.

GCF(34529,34540) = 11

We will now calculate the prime factors of 34529 and 34540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34529 and 34540.

How to find the GCF of 34529 and 34540?

We will first find the prime factorization of 34529 and 34540. After we will calculate the factors of 34529 and 34540 and find the biggest common factor number .

Step-1: Prime Factorization of 34529

Prime factors of 34529 are 11, 43, 73. Prime factorization of 34529 in exponential form is:

34529 = 11¹ × 43¹ × 73¹

Step-2: 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-3: Factors of 34529

List of positive integer factors of 34529 that divides 34529 without a remainder.

1, 11, 43, 73, 473, 803, 3139

Step-4: Factors of 34540

List of positive integer factors of 34540 that divides 34529 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34529 and 34540. The biggest common factor number is the GCF number.
So the greatest common factor 34529 and 34540 is 11.

Also check out the Least Common Multiple of 34529 and 34540