What is the Greatest Common Factor of 50732 and 50743?

Greatest common factor (GCF) of 50732 and 50743 is 11.

GCF(50732,50743) = 11

We will now calculate the prime factors of 50732 and 50743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50732 and 50743.

How to find the GCF of 50732 and 50743?

We will first find the prime factorization of 50732 and 50743. After we will calculate the factors of 50732 and 50743 and find the biggest common factor number .

Step-1: Prime Factorization of 50732

Prime factors of 50732 are 2, 11, 1153. Prime factorization of 50732 in exponential form is:

50732 = 2² × 11¹ × 1153¹

Step-2: Prime Factorization of 50743

Prime factors of 50743 are 7, 11, 659. Prime factorization of 50743 in exponential form is:

50743 = 7¹ × 11¹ × 659¹

Step-3: Factors of 50732

List of positive integer factors of 50732 that divides 50732 without a remainder.

1, 2, 4, 11, 22, 44, 1153, 2306, 4612, 12683, 25366

Step-4: Factors of 50743

List of positive integer factors of 50743 that divides 50732 without a remainder.

1, 7, 11, 77, 659, 4613, 7249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50732 and 50743. The biggest common factor number is the GCF number.
So the greatest common factor 50732 and 50743 is 11.

Also check out the Least Common Multiple of 50732 and 50743