What is the Greatest Common Factor of 50534 and 50545?

Greatest common factor (GCF) of 50534 and 50545 is 11.

GCF(50534,50545) = 11

We will now calculate the prime factors of 50534 and 50545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50534 and 50545.

How to find the GCF of 50534 and 50545?

We will first find the prime factorization of 50534 and 50545. After we will calculate the factors of 50534 and 50545 and find the biggest common factor number .

Step-1: Prime Factorization of 50534

Prime factors of 50534 are 2, 11, 2297. Prime factorization of 50534 in exponential form is:

50534 = 2¹ × 11¹ × 2297¹

Step-2: Prime Factorization of 50545

Prime factors of 50545 are 5, 11, 919. Prime factorization of 50545 in exponential form is:

50545 = 5¹ × 11¹ × 919¹

Step-3: Factors of 50534

List of positive integer factors of 50534 that divides 50534 without a remainder.

1, 2, 11, 22, 2297, 4594, 25267

Step-4: Factors of 50545

List of positive integer factors of 50545 that divides 50534 without a remainder.

1, 5, 11, 55, 919, 4595, 10109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50534 and 50545. The biggest common factor number is the GCF number.
So the greatest common factor 50534 and 50545 is 11.

Also check out the Least Common Multiple of 50534 and 50545