What is the Greatest Common Factor of 45670 and 45688?

Greatest common factor (GCF) of 45670 and 45688 is 2.

GCF(45670,45688) = 2

We will now calculate the prime factors of 45670 and 45688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45670 and 45688.

How to find the GCF of 45670 and 45688?

We will first find the prime factorization of 45670 and 45688. After we will calculate the factors of 45670 and 45688 and find the biggest common factor number .

Step-1: Prime Factorization of 45670

Prime factors of 45670 are 2, 5, 4567. Prime factorization of 45670 in exponential form is:

45670 = 2¹ × 5¹ × 4567¹

Step-2: Prime Factorization of 45688

Prime factors of 45688 are 2, 5711. Prime factorization of 45688 in exponential form is:

45688 = 2³ × 5711¹

Step-3: Factors of 45670

List of positive integer factors of 45670 that divides 45670 without a remainder.

1, 2, 5, 10, 4567, 9134, 22835

Step-4: Factors of 45688

List of positive integer factors of 45688 that divides 45670 without a remainder.

1, 2, 4, 8, 5711, 11422, 22844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45670 and 45688. The biggest common factor number is the GCF number.
So the greatest common factor 45670 and 45688 is 2.

Also check out the Least Common Multiple of 45670 and 45688