What is the Greatest Common Factor of 49764 and 49774?

Greatest common factor (GCF) of 49764 and 49774 is 2.

GCF(49764,49774) = 2

We will now calculate the prime factors of 49764 and 49774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49764 and 49774.

How to find the GCF of 49764 and 49774?

We will first find the prime factorization of 49764 and 49774. After we will calculate the factors of 49764 and 49774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49774

Prime factors of 49774 are 2, 41, 607. Prime factorization of 49774 in exponential form is:

49774 = 2¹ × 41¹ × 607¹

Step-3: Factors of 49764

List of positive integer factors of 49764 that divides 49764 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

Step-4: Factors of 49774

List of positive integer factors of 49774 that divides 49764 without a remainder.

1, 2, 41, 82, 607, 1214, 24887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49764 and 49774. The biggest common factor number is the GCF number.
So the greatest common factor 49764 and 49774 is 2.

Also check out the Least Common Multiple of 49764 and 49774