What is the Greatest Common Factor of 39345 and 39355?

Greatest common factor (GCF) of 39345 and 39355 is 5.

GCF(39345,39355) = 5

We will now calculate the prime factors of 39345 and 39355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39345 and 39355.

How to find the GCF of 39345 and 39355?

We will first find the prime factorization of 39345 and 39355. After we will calculate the factors of 39345 and 39355 and find the biggest common factor number .

Step-1: Prime Factorization of 39345

Prime factors of 39345 are 3, 5, 43, 61. Prime factorization of 39345 in exponential form is:

39345 = 3¹ × 5¹ × 43¹ × 61¹

Step-2: Prime Factorization of 39355

Prime factors of 39355 are 5, 17, 463. Prime factorization of 39355 in exponential form is:

39355 = 5¹ × 17¹ × 463¹

Step-3: Factors of 39345

List of positive integer factors of 39345 that divides 39345 without a remainder.

1, 3, 5, 15, 43, 61, 129, 183, 215, 305, 645, 915, 2623, 7869, 13115

Step-4: Factors of 39355

List of positive integer factors of 39355 that divides 39345 without a remainder.

1, 5, 17, 85, 463, 2315, 7871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39345 and 39355. The biggest common factor number is the GCF number.
So the greatest common factor 39345 and 39355 is 5.

Also check out the Least Common Multiple of 39345 and 39355