What is the Greatest Common Factor of 29631 and 29650?

Greatest common factor (GCF) of 29631 and 29650 is 1.

GCF(29631,29650) = 1

We will now calculate the prime factors of 29631 and 29650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29631 and 29650.

How to find the GCF of 29631 and 29650?

We will first find the prime factorization of 29631 and 29650. After we will calculate the factors of 29631 and 29650 and find the biggest common factor number .

Step-1: Prime Factorization of 29631

Prime factors of 29631 are 3, 7, 17, 83. Prime factorization of 29631 in exponential form is:

29631 = 3¹ × 7¹ × 17¹ × 83¹

Step-2: Prime Factorization of 29650

Prime factors of 29650 are 2, 5, 593. Prime factorization of 29650 in exponential form is:

29650 = 2¹ × 5² × 593¹

Step-3: Factors of 29631

List of positive integer factors of 29631 that divides 29631 without a remainder.

1, 3, 7, 17, 21, 51, 83, 119, 249, 357, 581, 1411, 1743, 4233, 9877

Step-4: Factors of 29650

List of positive integer factors of 29650 that divides 29631 without a remainder.

1, 2, 5, 10, 25, 50, 593, 1186, 2965, 5930, 14825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29631 and 29650. The biggest common factor number is the GCF number.
So the greatest common factor 29631 and 29650 is 1.

Also check out the Least Common Multiple of 29631 and 29650