What is the Greatest Common Factor of 45645 and 45662?

Greatest common factor (GCF) of 45645 and 45662 is 17.

GCF(45645,45662) = 17

We will now calculate the prime factors of 45645 and 45662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45645 and 45662.

How to find the GCF of 45645 and 45662?

We will first find the prime factorization of 45645 and 45662. After we will calculate the factors of 45645 and 45662 and find the biggest common factor number .

Step-1: Prime Factorization of 45645

Prime factors of 45645 are 3, 5, 17, 179. Prime factorization of 45645 in exponential form is:

45645 = 3¹ × 5¹ × 17¹ × 179¹

Step-2: Prime Factorization of 45662

Prime factors of 45662 are 2, 17, 79. Prime factorization of 45662 in exponential form is:

45662 = 2¹ × 17² × 79¹

Step-3: Factors of 45645

List of positive integer factors of 45645 that divides 45645 without a remainder.

1, 3, 5, 15, 17, 51, 85, 179, 255, 537, 895, 2685, 3043, 9129, 15215

Step-4: Factors of 45662

List of positive integer factors of 45662 that divides 45645 without a remainder.

1, 2, 17, 34, 79, 158, 289, 578, 1343, 2686, 22831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45645 and 45662. The biggest common factor number is the GCF number.
So the greatest common factor 45645 and 45662 is 17.

Also check out the Least Common Multiple of 45645 and 45662