What is the Greatest Common Factor of 45570 and 45575?

Greatest common factor (GCF) of 45570 and 45575 is 5.

GCF(45570,45575) = 5

We will now calculate the prime factors of 45570 and 45575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45570 and 45575.

How to find the GCF of 45570 and 45575?

We will first find the prime factorization of 45570 and 45575. After we will calculate the factors of 45570 and 45575 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 45575

Prime factors of 45575 are 5, 1823. Prime factorization of 45575 in exponential form is:

45575 = 5² × 1823¹

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 45575

List of positive integer factors of 45575 that divides 45570 without a remainder.

1, 5, 25, 1823, 9115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45570 and 45575. The biggest common factor number is the GCF number.
So the greatest common factor 45570 and 45575 is 5.

Also check out the Least Common Multiple of 45570 and 45575