What is the Greatest Common Factor of 50754 and 50765?

Greatest common factor (GCF) of 50754 and 50765 is 11.

GCF(50754,50765) = 11

We will now calculate the prime factors of 50754 and 50765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50754 and 50765.

How to find the GCF of 50754 and 50765?

We will first find the prime factorization of 50754 and 50765. After we will calculate the factors of 50754 and 50765 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 50765

Prime factors of 50765 are 5, 11, 13, 71. Prime factorization of 50765 in exponential form is:

50765 = 5¹ × 11¹ × 13¹ × 71¹

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 50765

List of positive integer factors of 50765 that divides 50754 without a remainder.

1, 5, 11, 13, 55, 65, 71, 143, 355, 715, 781, 923, 3905, 4615, 10153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50754 and 50765. The biggest common factor number is the GCF number.
So the greatest common factor 50754 and 50765 is 11.

Also check out the Least Common Multiple of 50754 and 50765