What is the Greatest Common Factor of 44676 and 44693?

Greatest common factor (GCF) of 44676 and 44693 is 17.

GCF(44676,44693) = 17

We will now calculate the prime factors of 44676 and 44693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44676 and 44693.

How to find the GCF of 44676 and 44693?

We will first find the prime factorization of 44676 and 44693. After we will calculate the factors of 44676 and 44693 and find the biggest common factor number .

Step-1: Prime Factorization of 44676

Prime factors of 44676 are 2, 3, 17, 73. Prime factorization of 44676 in exponential form is:

44676 = 2² × 3² × 17¹ × 73¹

Step-2: Prime Factorization of 44693

Prime factors of 44693 are 11, 17, 239. Prime factorization of 44693 in exponential form is:

44693 = 11¹ × 17¹ × 239¹

Step-3: Factors of 44676

List of positive integer factors of 44676 that divides 44676 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 73, 102, 146, 153, 204, 219, 292, 306, 438, 612, 657, 876, 1241, 1314, 2482, 2628, 3723, 4964, 7446, 11169, 14892, 22338

Step-4: Factors of 44693

List of positive integer factors of 44693 that divides 44676 without a remainder.

1, 11, 17, 187, 239, 2629, 4063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44676 and 44693. The biggest common factor number is the GCF number.
So the greatest common factor 44676 and 44693 is 17.

Also check out the Least Common Multiple of 44676 and 44693