What is the Greatest Common Factor of 45359 and 45370?

Greatest common factor (GCF) of 45359 and 45370 is 1.

GCF(45359,45370) = 1

We will now calculate the prime factors of 45359 and 45370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45359 and 45370.

How to find the GCF of 45359 and 45370?

We will first find the prime factorization of 45359 and 45370. After we will calculate the factors of 45359 and 45370 and find the biggest common factor number .

Step-1: Prime Factorization of 45359

Prime factors of 45359 are 67, 677. Prime factorization of 45359 in exponential form is:

45359 = 67¹ × 677¹

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 45359

List of positive integer factors of 45359 that divides 45359 without a remainder.

1, 67, 677

Step-4: Factors of 45370

List of positive integer factors of 45370 that divides 45359 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 45359 and 45370. The biggest common factor number is the GCF number.
So the greatest common factor 45359 and 45370 is 1.

Also check out the Least Common Multiple of 45359 and 45370