What is the Greatest Common Factor of 44965 and 44982?

Greatest common factor (GCF) of 44965 and 44982 is 17.

GCF(44965,44982) = 17

We will now calculate the prime factors of 44965 and 44982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44965 and 44982.

How to find the GCF of 44965 and 44982?

We will first find the prime factorization of 44965 and 44982. After we will calculate the factors of 44965 and 44982 and find the biggest common factor number .

Step-1: Prime Factorization of 44965

Prime factors of 44965 are 5, 17, 23. Prime factorization of 44965 in exponential form is:

44965 = 5¹ × 17¹ × 23²

Step-2: Prime Factorization of 44982

Prime factors of 44982 are 2, 3, 7, 17. Prime factorization of 44982 in exponential form is:

44982 = 2¹ × 3³ × 7² × 17¹

Step-3: Factors of 44965

List of positive integer factors of 44965 that divides 44965 without a remainder.

1, 5, 17, 23, 85, 115, 391, 529, 1955, 2645, 8993

Step-4: Factors of 44982

List of positive integer factors of 44982 that divides 44965 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 49, 51, 54, 63, 98, 102, 119, 126, 147, 153, 189, 238, 294, 306, 357, 378, 441, 459, 714, 833, 882, 918, 1071, 1323, 1666, 2142, 2499, 2646, 3213, 4998, 6426, 7497, 14994, 22491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44965 and 44982. The biggest common factor number is the GCF number.
So the greatest common factor 44965 and 44982 is 17.

Also check out the Least Common Multiple of 44965 and 44982