What is the Greatest Common Factor of 45570 and 45585?

Greatest common factor (GCF) of 45570 and 45585 is 15.

GCF(45570,45585) = 15

We will now calculate the prime factors of 45570 and 45585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45570 and 45585.

How to find the GCF of 45570 and 45585?

We will first find the prime factorization of 45570 and 45585. After we will calculate the factors of 45570 and 45585 and find the biggest common factor number .

Step-1: Prime Factorization of 45570

Prime factors of 45570 are 2, 3, 5, 7, 31. Prime factorization of 45570 in exponential form is:

45570 = 2¹ × 3¹ × 5¹ × 7² × 31¹

Step-2: Prime Factorization of 45585

Prime factors of 45585 are 3, 5, 1013. Prime factorization of 45585 in exponential form is:

45585 = 3² × 5¹ × 1013¹

Step-3: Factors of 45570

List of positive integer factors of 45570 that divides 45570 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 49, 62, 70, 93, 98, 105, 147, 155, 186, 210, 217, 245, 294, 310, 434, 465, 490, 651, 735, 930, 1085, 1302, 1470, 1519, 2170, 3038, 3255, 4557, 6510, 7595, 9114, 15190, 22785

Step-4: Factors of 45585

List of positive integer factors of 45585 that divides 45570 without a remainder.

1, 3, 5, 9, 15, 45, 1013, 3039, 5065, 9117, 15195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45570 and 45585. The biggest common factor number is the GCF number.
So the greatest common factor 45570 and 45585 is 15.

Also check out the Least Common Multiple of 45570 and 45585