What is the Greatest Common Factor of 44744 and 44761?

Greatest common factor (GCF) of 44744 and 44761 is 17.

GCF(44744,44761) = 17

We will now calculate the prime factors of 44744 and 44761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44744 and 44761.

How to find the GCF of 44744 and 44761?

We will first find the prime factorization of 44744 and 44761. After we will calculate the factors of 44744 and 44761 and find the biggest common factor number .

Step-1: Prime Factorization of 44744

Prime factors of 44744 are 2, 7, 17, 47. Prime factorization of 44744 in exponential form is:

44744 = 2³ × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 44761

Prime factors of 44761 are 17, 2633. Prime factorization of 44761 in exponential form is:

44761 = 17¹ × 2633¹

Step-3: Factors of 44744

List of positive integer factors of 44744 that divides 44744 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 47, 56, 68, 94, 119, 136, 188, 238, 329, 376, 476, 658, 799, 952, 1316, 1598, 2632, 3196, 5593, 6392, 11186, 22372

Step-4: Factors of 44761

List of positive integer factors of 44761 that divides 44744 without a remainder.

1, 17, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44744 and 44761. The biggest common factor number is the GCF number.
So the greatest common factor 44744 and 44761 is 17.

Also check out the Least Common Multiple of 44744 and 44761