What is the Greatest Common Factor of 44968 and 44982?

Greatest common factor (GCF) of 44968 and 44982 is 14.

GCF(44968,44982) = 14

We will now calculate the prime factors of 44968 and 44982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44968 and 44982.

How to find the GCF of 44968 and 44982?

We will first find the prime factorization of 44968 and 44982. After we will calculate the factors of 44968 and 44982 and find the biggest common factor number .

Step-1: Prime Factorization of 44968

Prime factors of 44968 are 2, 7, 11, 73. Prime factorization of 44968 in exponential form is:

44968 = 2³ × 7¹ × 11¹ × 73¹

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 44968

List of positive integer factors of 44968 that divides 44968 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 73, 77, 88, 146, 154, 292, 308, 511, 584, 616, 803, 1022, 1606, 2044, 3212, 4088, 5621, 6424, 11242, 22484

Step-4: Factors of 44982

List of positive integer factors of 44982 that divides 44968 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 44968 and 44982. The biggest common factor number is the GCF number.
So the greatest common factor 44968 and 44982 is 14.

Also check out the Least Common Multiple of 44968 and 44982