What is the Greatest Common Factor of 50758 and 50769?

Greatest common factor (GCF) of 50758 and 50769 is 1.

GCF(50758,50769) = 1

We will now calculate the prime factors of 50758 and 50769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50758 and 50769.

How to find the GCF of 50758 and 50769?

We will first find the prime factorization of 50758 and 50769. After we will calculate the factors of 50758 and 50769 and find the biggest common factor number .

Step-1: Prime Factorization of 50758

Prime factors of 50758 are 2, 41, 619. Prime factorization of 50758 in exponential form is:

50758 = 2¹ × 41¹ × 619¹

Step-2: Prime Factorization of 50769

Prime factors of 50769 are 3, 5641. Prime factorization of 50769 in exponential form is:

50769 = 3² × 5641¹

Step-3: Factors of 50758

List of positive integer factors of 50758 that divides 50758 without a remainder.

1, 2, 41, 82, 619, 1238, 25379

Step-4: Factors of 50769

List of positive integer factors of 50769 that divides 50758 without a remainder.

1, 3, 9, 5641, 16923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50758 and 50769. The biggest common factor number is the GCF number.
So the greatest common factor 50758 and 50769 is 1.

Also check out the Least Common Multiple of 50758 and 50769