What is the Greatest Common Factor of 49742 and 49747?

Greatest common factor (GCF) of 49742 and 49747 is 1.

GCF(49742,49747) = 1

We will now calculate the prime factors of 49742 and 49747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49742 and 49747.

How to find the GCF of 49742 and 49747?

We will first find the prime factorization of 49742 and 49747. After we will calculate the factors of 49742 and 49747 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 49747

Prime factors of 49747 are 49747. Prime factorization of 49747 in exponential form is:

49747 = 49747¹

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 49747

List of positive integer factors of 49747 that divides 49742 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49742 and 49747. The biggest common factor number is the GCF number.
So the greatest common factor 49742 and 49747 is 1.

Also check out the Least Common Multiple of 49742 and 49747