What is the Greatest Common Factor of 44975 and 44982?

Greatest common factor (GCF) of 44975 and 44982 is 7.

GCF(44975,44982) = 7

We will now calculate the prime factors of 44975 and 44982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44975 and 44982.

How to find the GCF of 44975 and 44982?

We will first find the prime factorization of 44975 and 44982. After we will calculate the factors of 44975 and 44982 and find the biggest common factor number .

Step-1: Prime Factorization of 44975

Prime factors of 44975 are 5, 7, 257. Prime factorization of 44975 in exponential form is:

44975 = 5² × 7¹ × 257¹

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 44975

List of positive integer factors of 44975 that divides 44975 without a remainder.

1, 5, 7, 25, 35, 175, 257, 1285, 1799, 6425, 8995

Step-4: Factors of 44982

List of positive integer factors of 44982 that divides 44975 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 44975 and 44982. The biggest common factor number is the GCF number.
So the greatest common factor 44975 and 44982 is 7.

Also check out the Least Common Multiple of 44975 and 44982