What is the Greatest Common Factor of 50285 and 50297?

Greatest common factor (GCF) of 50285 and 50297 is 1.

GCF(50285,50297) = 1

We will now calculate the prime factors of 50285 and 50297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50285 and 50297.

How to find the GCF of 50285 and 50297?

We will first find the prime factorization of 50285 and 50297. After we will calculate the factors of 50285 and 50297 and find the biggest common factor number .

Step-1: Prime Factorization of 50285

Prime factors of 50285 are 5, 89, 113. Prime factorization of 50285 in exponential form is:

50285 = 5¹ × 89¹ × 113¹

Step-2: Prime Factorization of 50297

Prime factors of 50297 are 13, 53, 73. Prime factorization of 50297 in exponential form is:

50297 = 13¹ × 53¹ × 73¹

Step-3: Factors of 50285

List of positive integer factors of 50285 that divides 50285 without a remainder.

1, 5, 89, 113, 445, 565, 10057

Step-4: Factors of 50297

List of positive integer factors of 50297 that divides 50285 without a remainder.

1, 13, 53, 73, 689, 949, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50285 and 50297. The biggest common factor number is the GCF number.
So the greatest common factor 50285 and 50297 is 1.

Also check out the Least Common Multiple of 50285 and 50297