What is the Greatest Common Factor of 45725 and 45730?

Greatest common factor (GCF) of 45725 and 45730 is 5.

GCF(45725,45730) = 5

We will now calculate the prime factors of 45725 and 45730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45725 and 45730.

How to find the GCF of 45725 and 45730?

We will first find the prime factorization of 45725 and 45730. After we will calculate the factors of 45725 and 45730 and find the biggest common factor number .

Step-1: Prime Factorization of 45725

Prime factors of 45725 are 5, 31, 59. Prime factorization of 45725 in exponential form is:

45725 = 5² × 31¹ × 59¹

Step-2: 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-3: Factors of 45725

List of positive integer factors of 45725 that divides 45725 without a remainder.

1, 5, 25, 31, 59, 155, 295, 775, 1475, 1829, 9145

Step-4: Factors of 45730

List of positive integer factors of 45730 that divides 45725 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45725 and 45730. The biggest common factor number is the GCF number.
So the greatest common factor 45725 and 45730 is 5.

Also check out the Least Common Multiple of 45725 and 45730