What is the Greatest Common Factor of 45135 and 45155?

Greatest common factor (GCF) of 45135 and 45155 is 5.

GCF(45135,45155) = 5

We will now calculate the prime factors of 45135 and 45155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45135 and 45155.

How to find the GCF of 45135 and 45155?

We will first find the prime factorization of 45135 and 45155. After we will calculate the factors of 45135 and 45155 and find the biggest common factor number .

Step-1: Prime Factorization of 45135

Prime factors of 45135 are 3, 5, 17, 59. Prime factorization of 45135 in exponential form is:

45135 = 3² × 5¹ × 17¹ × 59¹

Step-2: Prime Factorization of 45155

Prime factors of 45155 are 5, 11, 821. Prime factorization of 45155 in exponential form is:

45155 = 5¹ × 11¹ × 821¹

Step-3: Factors of 45135

List of positive integer factors of 45135 that divides 45135 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 59, 85, 153, 177, 255, 295, 531, 765, 885, 1003, 2655, 3009, 5015, 9027, 15045

Step-4: Factors of 45155

List of positive integer factors of 45155 that divides 45135 without a remainder.

1, 5, 11, 55, 821, 4105, 9031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45135 and 45155. The biggest common factor number is the GCF number.
So the greatest common factor 45135 and 45155 is 5.

Also check out the Least Common Multiple of 45135 and 45155