What is the Greatest Common Factor of 44972 and 44982?

Greatest common factor (GCF) of 44972 and 44982 is 2.

GCF(44972,44982) = 2

We will now calculate the prime factors of 44972 and 44982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44972 and 44982.

How to find the GCF of 44972 and 44982?

We will first find the prime factorization of 44972 and 44982. After we will calculate the factors of 44972 and 44982 and find the biggest common factor number .

Step-1: Prime Factorization of 44972

Prime factors of 44972 are 2, 11243. Prime factorization of 44972 in exponential form is:

44972 = 2² × 11243¹

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 44972

List of positive integer factors of 44972 that divides 44972 without a remainder.

1, 2, 4, 11243, 22486

Step-4: Factors of 44982

List of positive integer factors of 44982 that divides 44972 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 44972 and 44982. The biggest common factor number is the GCF number.
So the greatest common factor 44972 and 44982 is 2.

Also check out the Least Common Multiple of 44972 and 44982