What is the Greatest Common Factor of 49742 and 49756?

Greatest common factor (GCF) of 49742 and 49756 is 14.

GCF(49742,49756) = 14

We will now calculate the prime factors of 49742 and 49756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49742 and 49756.

How to find the GCF of 49742 and 49756?

We will first find the prime factorization of 49742 and 49756. After we will calculate the factors of 49742 and 49756 and find the biggest common factor number .

Step-1: Prime Factorization of 49742

Prime factors of 49742 are 2, 7, 11, 17, 19. Prime factorization of 49742 in exponential form is:

49742 = 2¹ × 7¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 49756

Prime factors of 49756 are 2, 7, 1777. Prime factorization of 49756 in exponential form is:

49756 = 2² × 7¹ × 1777¹

Step-3: Factors of 49742

List of positive integer factors of 49742 that divides 49742 without a remainder.

1, 2, 7, 11, 14, 17, 19, 22, 34, 38, 77, 119, 133, 154, 187, 209, 238, 266, 323, 374, 418, 646, 1309, 1463, 2261, 2618, 2926, 3553, 4522, 7106, 24871

Step-4: Factors of 49756

List of positive integer factors of 49756 that divides 49742 without a remainder.

1, 2, 4, 7, 14, 28, 1777, 3554, 7108, 12439, 24878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49742 and 49756. The biggest common factor number is the GCF number.
So the greatest common factor 49742 and 49756 is 14.

Also check out the Least Common Multiple of 49742 and 49756