What is the Greatest Common Factor of 45358 and 45370?

Greatest common factor (GCF) of 45358 and 45370 is 2.

GCF(45358,45370) = 2

We will now calculate the prime factors of 45358 and 45370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45358 and 45370.

How to find the GCF of 45358 and 45370?

We will first find the prime factorization of 45358 and 45370. After we will calculate the factors of 45358 and 45370 and find the biggest common factor number .

Step-1: Prime Factorization of 45358

Prime factors of 45358 are 2, 22679. Prime factorization of 45358 in exponential form is:

45358 = 2¹ × 22679¹

Step-2: Prime Factorization of 45370

Prime factors of 45370 are 2, 5, 13, 349. Prime factorization of 45370 in exponential form is:

45370 = 2¹ × 5¹ × 13¹ × 349¹

Step-3: Factors of 45358

List of positive integer factors of 45358 that divides 45358 without a remainder.

1, 2, 22679

Step-4: Factors of 45370

List of positive integer factors of 45370 that divides 45358 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 349, 698, 1745, 3490, 4537, 9074, 22685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45358 and 45370. The biggest common factor number is the GCF number.
So the greatest common factor 45358 and 45370 is 2.

Also check out the Least Common Multiple of 45358 and 45370