What is the Greatest Common Factor of 45690 and 45705?

Greatest common factor (GCF) of 45690 and 45705 is 15.

GCF(45690,45705) = 15

We will now calculate the prime factors of 45690 and 45705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45690 and 45705.

How to find the GCF of 45690 and 45705?

We will first find the prime factorization of 45690 and 45705. After we will calculate the factors of 45690 and 45705 and find the biggest common factor number .

Step-1: Prime Factorization of 45690

Prime factors of 45690 are 2, 3, 5, 1523. Prime factorization of 45690 in exponential form is:

45690 = 2¹ × 3¹ × 5¹ × 1523¹

Step-2: Prime Factorization of 45705

Prime factors of 45705 are 3, 5, 11, 277. Prime factorization of 45705 in exponential form is:

45705 = 3¹ × 5¹ × 11¹ × 277¹

Step-3: Factors of 45690

List of positive integer factors of 45690 that divides 45690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1523, 3046, 4569, 7615, 9138, 15230, 22845

Step-4: Factors of 45705

List of positive integer factors of 45705 that divides 45690 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 277, 831, 1385, 3047, 4155, 9141, 15235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45690 and 45705. The biggest common factor number is the GCF number.
So the greatest common factor 45690 and 45705 is 15.

Also check out the Least Common Multiple of 45690 and 45705