What is the Greatest Common Factor of 45370 and 45385?

Greatest common factor (GCF) of 45370 and 45385 is 5.

GCF(45370,45385) = 5

We will now calculate the prime factors of 45370 and 45385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45370 and 45385.

How to find the GCF of 45370 and 45385?

We will first find the prime factorization of 45370 and 45385. After we will calculate the factors of 45370 and 45385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45385

Prime factors of 45385 are 5, 29, 313. Prime factorization of 45385 in exponential form is:

45385 = 5¹ × 29¹ × 313¹

Step-3: Factors of 45370

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

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

Step-4: Factors of 45385

List of positive integer factors of 45385 that divides 45370 without a remainder.

1, 5, 29, 145, 313, 1565, 9077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45370 and 45385. The biggest common factor number is the GCF number.
So the greatest common factor 45370 and 45385 is 5.

Also check out the Least Common Multiple of 45370 and 45385