What is the Greatest Common Factor of 45370 and 45383?

Greatest common factor (GCF) of 45370 and 45383 is 13.

GCF(45370,45383) = 13

We will now calculate the prime factors of 45370 and 45383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45370 and 45383.

How to find the GCF of 45370 and 45383?

We will first find the prime factorization of 45370 and 45383. After we will calculate the factors of 45370 and 45383 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 45383

Prime factors of 45383 are 13, 3491. Prime factorization of 45383 in exponential form is:

45383 = 13¹ × 3491¹

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 45383

List of positive integer factors of 45383 that divides 45370 without a remainder.

1, 13, 3491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45370 and 45383. The biggest common factor number is the GCF number.
So the greatest common factor 45370 and 45383 is 13.

Also check out the Least Common Multiple of 45370 and 45383