What is the Greatest Common Factor of 49760 and 49764?

Greatest common factor (GCF) of 49760 and 49764 is 4.

GCF(49760,49764) = 4

We will now calculate the prime factors of 49760 and 49764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49760 and 49764.

How to find the GCF of 49760 and 49764?

We will first find the prime factorization of 49760 and 49764. After we will calculate the factors of 49760 and 49764 and find the biggest common factor number .

Step-1: Prime Factorization of 49760

Prime factors of 49760 are 2, 5, 311. Prime factorization of 49760 in exponential form is:

49760 = 2⁵ × 5¹ × 311¹

Step-2: Prime Factorization of 49764

Prime factors of 49764 are 2, 3, 11, 13, 29. Prime factorization of 49764 in exponential form is:

49764 = 2² × 3¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 49760

List of positive integer factors of 49760 that divides 49760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 311, 622, 1244, 1555, 2488, 3110, 4976, 6220, 9952, 12440, 24880

Step-4: Factors of 49764

List of positive integer factors of 49764 that divides 49760 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 29, 33, 39, 44, 52, 58, 66, 78, 87, 116, 132, 143, 156, 174, 286, 319, 348, 377, 429, 572, 638, 754, 858, 957, 1131, 1276, 1508, 1716, 1914, 2262, 3828, 4147, 4524, 8294, 12441, 16588, 24882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49760 and 49764. The biggest common factor number is the GCF number.
So the greatest common factor 49760 and 49764 is 4.

Also check out the Least Common Multiple of 49760 and 49764