What is the Greatest Common Factor of 45010 and 45028?

Greatest common factor (GCF) of 45010 and 45028 is 2.

GCF(45010,45028) = 2

We will now calculate the prime factors of 45010 and 45028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45010 and 45028.

How to find the GCF of 45010 and 45028?

We will first find the prime factorization of 45010 and 45028. After we will calculate the factors of 45010 and 45028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45028

Prime factors of 45028 are 2, 11257. Prime factorization of 45028 in exponential form is:

45028 = 2² × 11257¹

Step-3: Factors of 45010

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

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

Step-4: Factors of 45028

List of positive integer factors of 45028 that divides 45010 without a remainder.

1, 2, 4, 11257, 22514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45010 and 45028. The biggest common factor number is the GCF number.
So the greatest common factor 45010 and 45028 is 2.

Also check out the Least Common Multiple of 45010 and 45028