What is the Greatest Common Factor of 45050 and 45070?

Greatest common factor (GCF) of 45050 and 45070 is 10.

GCF(45050,45070) = 10

We will now calculate the prime factors of 45050 and 45070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45050 and 45070.

How to find the GCF of 45050 and 45070?

We will first find the prime factorization of 45050 and 45070. After we will calculate the factors of 45050 and 45070 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 45070

Prime factors of 45070 are 2, 5, 4507. Prime factorization of 45070 in exponential form is:

45070 = 2¹ × 5¹ × 4507¹

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 45070

List of positive integer factors of 45070 that divides 45050 without a remainder.

1, 2, 5, 10, 4507, 9014, 22535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45050 and 45070. The biggest common factor number is the GCF number.
So the greatest common factor 45050 and 45070 is 10.

Also check out the Least Common Multiple of 45050 and 45070