What is the Greatest Common Factor of 45975 and 45990?

Greatest common factor (GCF) of 45975 and 45990 is 15.

GCF(45975,45990) = 15

We will now calculate the prime factors of 45975 and 45990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45975 and 45990.

How to find the GCF of 45975 and 45990?

We will first find the prime factorization of 45975 and 45990. After we will calculate the factors of 45975 and 45990 and find the biggest common factor number .

Step-1: Prime Factorization of 45975

Prime factors of 45975 are 3, 5, 613. Prime factorization of 45975 in exponential form is:

45975 = 3¹ × 5² × 613¹

Step-2: Prime Factorization of 45990

Prime factors of 45990 are 2, 3, 5, 7, 73. Prime factorization of 45990 in exponential form is:

45990 = 2¹ × 3² × 5¹ × 7¹ × 73¹

Step-3: Factors of 45975

List of positive integer factors of 45975 that divides 45975 without a remainder.

1, 3, 5, 15, 25, 75, 613, 1839, 3065, 9195, 15325

Step-4: Factors of 45990

List of positive integer factors of 45990 that divides 45975 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 73, 90, 105, 126, 146, 210, 219, 315, 365, 438, 511, 630, 657, 730, 1022, 1095, 1314, 1533, 2190, 2555, 3066, 3285, 4599, 5110, 6570, 7665, 9198, 15330, 22995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45975 and 45990. The biggest common factor number is the GCF number.
So the greatest common factor 45975 and 45990 is 15.

Also check out the Least Common Multiple of 45975 and 45990