What is the Greatest Common Factor of 45730 and 45740?

Greatest common factor (GCF) of 45730 and 45740 is 10.

GCF(45730,45740) = 10

We will now calculate the prime factors of 45730 and 45740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45730 and 45740.

How to find the GCF of 45730 and 45740?

We will first find the prime factorization of 45730 and 45740. After we will calculate the factors of 45730 and 45740 and find the biggest common factor number .

Step-1: Prime Factorization of 45730

Prime factors of 45730 are 2, 5, 17, 269. Prime factorization of 45730 in exponential form is:

45730 = 2¹ × 5¹ × 17¹ × 269¹

Step-2: Prime Factorization of 45740

Prime factors of 45740 are 2, 5, 2287. Prime factorization of 45740 in exponential form is:

45740 = 2² × 5¹ × 2287¹

Step-3: Factors of 45730

List of positive integer factors of 45730 that divides 45730 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 269, 538, 1345, 2690, 4573, 9146, 22865

Step-4: Factors of 45740

List of positive integer factors of 45740 that divides 45730 without a remainder.

1, 2, 4, 5, 10, 20, 2287, 4574, 9148, 11435, 22870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45730 and 45740. The biggest common factor number is the GCF number.
So the greatest common factor 45730 and 45740 is 10.

Also check out the Least Common Multiple of 45730 and 45740