What is the Greatest Common Factor of 45060 and 45070?

Greatest common factor (GCF) of 45060 and 45070 is 10.

GCF(45060,45070) = 10

We will now calculate the prime factors of 45060 and 45070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45060 and 45070.

How to find the GCF of 45060 and 45070?

We will first find the prime factorization of 45060 and 45070. After we will calculate the factors of 45060 and 45070 and find the biggest common factor number .

Step-1: Prime Factorization of 45060

Prime factors of 45060 are 2, 3, 5, 751. Prime factorization of 45060 in exponential form is:

45060 = 2² × 3¹ × 5¹ × 751¹

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 45060

List of positive integer factors of 45060 that divides 45060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 751, 1502, 2253, 3004, 3755, 4506, 7510, 9012, 11265, 15020, 22530

Step-4: Factors of 45070

List of positive integer factors of 45070 that divides 45060 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45060 and 45070. The biggest common factor number is the GCF number.
So the greatest common factor 45060 and 45070 is 10.

Also check out the Least Common Multiple of 45060 and 45070