What is the Greatest Common Factor of 50692 and 50711?

Greatest common factor (GCF) of 50692 and 50711 is 19.

GCF(50692,50711) = 19

We will now calculate the prime factors of 50692 and 50711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50692 and 50711.

How to find the GCF of 50692 and 50711?

We will first find the prime factorization of 50692 and 50711. After we will calculate the factors of 50692 and 50711 and find the biggest common factor number .

Step-1: Prime Factorization of 50692

Prime factors of 50692 are 2, 19, 23, 29. Prime factorization of 50692 in exponential form is:

50692 = 2² × 19¹ × 23¹ × 29¹

Step-2: Prime Factorization of 50711

Prime factors of 50711 are 17, 19, 157. Prime factorization of 50711 in exponential form is:

50711 = 17¹ × 19¹ × 157¹

Step-3: Factors of 50692

List of positive integer factors of 50692 that divides 50692 without a remainder.

1, 2, 4, 19, 23, 29, 38, 46, 58, 76, 92, 116, 437, 551, 667, 874, 1102, 1334, 1748, 2204, 2668, 12673, 25346

Step-4: Factors of 50711

List of positive integer factors of 50711 that divides 50692 without a remainder.

1, 17, 19, 157, 323, 2669, 2983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50692 and 50711. The biggest common factor number is the GCF number.
So the greatest common factor 50692 and 50711 is 19.

Also check out the Least Common Multiple of 50692 and 50711