What is the Greatest Common Factor of 45006 and 45010?

Greatest common factor (GCF) of 45006 and 45010 is 2.

GCF(45006,45010) = 2

We will now calculate the prime factors of 45006 and 45010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45006 and 45010.

How to find the GCF of 45006 and 45010?

We will first find the prime factorization of 45006 and 45010. After we will calculate the factors of 45006 and 45010 and find the biggest common factor number .

Step-1: Prime Factorization of 45006

Prime factors of 45006 are 2, 3, 13, 577. Prime factorization of 45006 in exponential form is:

45006 = 2¹ × 3¹ × 13¹ × 577¹

Step-2: Prime Factorization of 45010

Prime factors of 45010 are 2, 5, 7, 643. Prime factorization of 45010 in exponential form is:

45010 = 2¹ × 5¹ × 7¹ × 643¹

Step-3: Factors of 45006

List of positive integer factors of 45006 that divides 45006 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 577, 1154, 1731, 3462, 7501, 15002, 22503

Step-4: Factors of 45010

List of positive integer factors of 45010 that divides 45006 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 643, 1286, 3215, 4501, 6430, 9002, 22505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45006 and 45010. The biggest common factor number is the GCF number.
So the greatest common factor 45006 and 45010 is 2.

Also check out the Least Common Multiple of 45006 and 45010