What is the Greatest Common Factor of 50646 and 50659?

Greatest common factor (GCF) of 50646 and 50659 is 1.

GCF(50646,50659) = 1

We will now calculate the prime factors of 50646 and 50659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50646 and 50659.

How to find the GCF of 50646 and 50659?

We will first find the prime factorization of 50646 and 50659. After we will calculate the factors of 50646 and 50659 and find the biggest common factor number .

Step-1: Prime Factorization of 50646

Prime factors of 50646 are 2, 3, 23, 367. Prime factorization of 50646 in exponential form is:

50646 = 2¹ × 3¹ × 23¹ × 367¹

Step-2: Prime Factorization of 50659

Prime factors of 50659 are 7, 7237. Prime factorization of 50659 in exponential form is:

50659 = 7¹ × 7237¹

Step-3: Factors of 50646

List of positive integer factors of 50646 that divides 50646 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 367, 734, 1101, 2202, 8441, 16882, 25323

Step-4: Factors of 50659

List of positive integer factors of 50659 that divides 50646 without a remainder.

1, 7, 7237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50646 and 50659. The biggest common factor number is the GCF number.
So the greatest common factor 50646 and 50659 is 1.

Also check out the Least Common Multiple of 50646 and 50659