What is the Greatest Common Factor of 44744 and 44763?

Greatest common factor (GCF) of 44744 and 44763 is 1.

GCF(44744,44763) = 1

We will now calculate the prime factors of 44744 and 44763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44744 and 44763.

How to find the GCF of 44744 and 44763?

We will first find the prime factorization of 44744 and 44763. After we will calculate the factors of 44744 and 44763 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 44763

Prime factors of 44763 are 3, 43, 347. Prime factorization of 44763 in exponential form is:

44763 = 3¹ × 43¹ × 347¹

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 44763

List of positive integer factors of 44763 that divides 44744 without a remainder.

1, 3, 43, 129, 347, 1041, 14921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44744 and 44763. The biggest common factor number is the GCF number.
So the greatest common factor 44744 and 44763 is 1.

Also check out the Least Common Multiple of 44744 and 44763