What is the Greatest Common Factor of 45050 and 45061?

Greatest common factor (GCF) of 45050 and 45061 is 1.

GCF(45050,45061) = 1

We will now calculate the prime factors of 45050 and 45061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45050 and 45061.

How to find the GCF of 45050 and 45061?

We will first find the prime factorization of 45050 and 45061. After we will calculate the factors of 45050 and 45061 and find the biggest common factor number .

Step-1: Prime Factorization of 45050

Prime factors of 45050 are 2, 5, 17, 53. Prime factorization of 45050 in exponential form is:

45050 = 2¹ × 5² × 17¹ × 53¹

Step-2: Prime Factorization of 45061

Prime factors of 45061 are 45061. Prime factorization of 45061 in exponential form is:

45061 = 45061¹

Step-3: Factors of 45050

List of positive integer factors of 45050 that divides 45050 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 53, 85, 106, 170, 265, 425, 530, 850, 901, 1325, 1802, 2650, 4505, 9010, 22525

Step-4: Factors of 45061

List of positive integer factors of 45061 that divides 45050 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45050 and 45061. The biggest common factor number is the GCF number.
So the greatest common factor 45050 and 45061 is 1.

Also check out the Least Common Multiple of 45050 and 45061