What is the Greatest Common Factor of 44982 and 44996?

Greatest common factor (GCF) of 44982 and 44996 is 14.

GCF(44982,44996) = 14

We will now calculate the prime factors of 44982 and 44996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44982 and 44996.

How to find the GCF of 44982 and 44996?

We will first find the prime factorization of 44982 and 44996. After we will calculate the factors of 44982 and 44996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44996

Prime factors of 44996 are 2, 7, 1607. Prime factorization of 44996 in exponential form is:

44996 = 2² × 7¹ × 1607¹

Step-3: Factors of 44982

List of positive integer factors of 44982 that divides 44982 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

Step-4: Factors of 44996

List of positive integer factors of 44996 that divides 44982 without a remainder.

1, 2, 4, 7, 14, 28, 1607, 3214, 6428, 11249, 22498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44982 and 44996. The biggest common factor number is the GCF number.
So the greatest common factor 44982 and 44996 is 14.

Also check out the Least Common Multiple of 44982 and 44996