What is the Greatest Common Factor of 45990 and 45999?

Greatest common factor (GCF) of 45990 and 45999 is 9.

GCF(45990,45999) = 9

We will now calculate the prime factors of 45990 and 45999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45990 and 45999.

How to find the GCF of 45990 and 45999?

We will first find the prime factorization of 45990 and 45999. After we will calculate the factors of 45990 and 45999 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45999

Prime factors of 45999 are 3, 19, 269. Prime factorization of 45999 in exponential form is:

45999 = 3² × 19¹ × 269¹

Step-3: Factors of 45990

List of positive integer factors of 45990 that divides 45990 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

Step-4: Factors of 45999

List of positive integer factors of 45999 that divides 45990 without a remainder.

1, 3, 9, 19, 57, 171, 269, 807, 2421, 5111, 15333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45990 and 45999. The biggest common factor number is the GCF number.
So the greatest common factor 45990 and 45999 is 9.

Also check out the Least Common Multiple of 45990 and 45999