What is the Greatest Common Factor of 45730 and 45748?

Greatest common factor (GCF) of 45730 and 45748 is 2.

GCF(45730,45748) = 2

We will now calculate the prime factors of 45730 and 45748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45730 and 45748.

How to find the GCF of 45730 and 45748?

We will first find the prime factorization of 45730 and 45748. After we will calculate the factors of 45730 and 45748 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 45748

Prime factors of 45748 are 2, 11437. Prime factorization of 45748 in exponential form is:

45748 = 2² × 11437¹

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 45748

List of positive integer factors of 45748 that divides 45730 without a remainder.

1, 2, 4, 11437, 22874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45730 and 45748. The biggest common factor number is the GCF number.
So the greatest common factor 45730 and 45748 is 2.

Also check out the Least Common Multiple of 45730 and 45748