What is the Greatest Common Factor of 50762 and 50780?

Greatest common factor (GCF) of 50762 and 50780 is 2.

GCF(50762,50780) = 2

We will now calculate the prime factors of 50762 and 50780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50762 and 50780.

How to find the GCF of 50762 and 50780?

We will first find the prime factorization of 50762 and 50780. After we will calculate the factors of 50762 and 50780 and find the biggest common factor number .

Step-1: Prime Factorization of 50762

Prime factors of 50762 are 2, 17, 1493. Prime factorization of 50762 in exponential form is:

50762 = 2¹ × 17¹ × 1493¹

Step-2: Prime Factorization of 50780

Prime factors of 50780 are 2, 5, 2539. Prime factorization of 50780 in exponential form is:

50780 = 2² × 5¹ × 2539¹

Step-3: Factors of 50762

List of positive integer factors of 50762 that divides 50762 without a remainder.

1, 2, 17, 34, 1493, 2986, 25381

Step-4: Factors of 50780

List of positive integer factors of 50780 that divides 50762 without a remainder.

1, 2, 4, 5, 10, 20, 2539, 5078, 10156, 12695, 25390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50762 and 50780. The biggest common factor number is the GCF number.
So the greatest common factor 50762 and 50780 is 2.

Also check out the Least Common Multiple of 50762 and 50780