What is the Greatest Common Factor of 50754 and 50762?

Greatest common factor (GCF) of 50754 and 50762 is 2.

GCF(50754,50762) = 2

We will now calculate the prime factors of 50754 and 50762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50754 and 50762.

How to find the GCF of 50754 and 50762?

We will first find the prime factorization of 50754 and 50762. After we will calculate the factors of 50754 and 50762 and find the biggest common factor number .

Step-1: Prime Factorization of 50754

Prime factors of 50754 are 2, 3, 11, 769. Prime factorization of 50754 in exponential form is:

50754 = 2¹ × 3¹ × 11¹ × 769¹

Step-2: 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-3: Factors of 50754

List of positive integer factors of 50754 that divides 50754 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 769, 1538, 2307, 4614, 8459, 16918, 25377

Step-4: Factors of 50762

List of positive integer factors of 50762 that divides 50754 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50754 and 50762. The biggest common factor number is the GCF number.
So the greatest common factor 50754 and 50762 is 2.

Also check out the Least Common Multiple of 50754 and 50762