What is the Greatest Common Factor of 50524 and 50534?

Greatest common factor (GCF) of 50524 and 50534 is 2.

GCF(50524,50534) = 2

We will now calculate the prime factors of 50524 and 50534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50524 and 50534.

How to find the GCF of 50524 and 50534?

We will first find the prime factorization of 50524 and 50534. After we will calculate the factors of 50524 and 50534 and find the biggest common factor number .

Step-1: Prime Factorization of 50524

Prime factors of 50524 are 2, 17, 743. Prime factorization of 50524 in exponential form is:

50524 = 2² × 17¹ × 743¹

Step-2: 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-3: Factors of 50524

List of positive integer factors of 50524 that divides 50524 without a remainder.

1, 2, 4, 17, 34, 68, 743, 1486, 2972, 12631, 25262

Step-4: Factors of 50534

List of positive integer factors of 50534 that divides 50524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50524 and 50534. The biggest common factor number is the GCF number.
So the greatest common factor 50524 and 50534 is 2.

Also check out the Least Common Multiple of 50524 and 50534