What is the Greatest Common Factor of 34633 and 34650?

Greatest common factor (GCF) of 34633 and 34650 is 1.

GCF(34633,34650) = 1

We will now calculate the prime factors of 34633 and 34650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34633 and 34650.

How to find the GCF of 34633 and 34650?

We will first find the prime factorization of 34633 and 34650. After we will calculate the factors of 34633 and 34650 and find the biggest common factor number .

Step-1: Prime Factorization of 34633

Prime factors of 34633 are 59, 587. Prime factorization of 34633 in exponential form is:

34633 = 59¹ × 587¹

Step-2: Prime Factorization of 34650

Prime factors of 34650 are 2, 3, 5, 7, 11. Prime factorization of 34650 in exponential form is:

34650 = 2¹ × 3² × 5² × 7¹ × 11¹

Step-3: Factors of 34633

List of positive integer factors of 34633 that divides 34633 without a remainder.

1, 59, 587

Step-4: Factors of 34650

List of positive integer factors of 34650 that divides 34633 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 25, 30, 33, 35, 42, 45, 50, 55, 63, 66, 70, 75, 77, 90, 99, 105, 110, 126, 150, 154, 165, 175, 198, 210, 225, 231, 275, 315, 330, 350, 385, 450, 462, 495, 525, 550, 630, 693, 770, 825, 990, 1050, 1155, 1386, 1575, 1650, 1925, 2310, 2475, 3150, 3465, 3850, 4950, 5775, 6930, 11550, 17325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34633 and 34650. The biggest common factor number is the GCF number.
So the greatest common factor 34633 and 34650 is 1.

Also check out the Least Common Multiple of 34633 and 34650