What is the Greatest Common Factor of 34650 and 34657?

Greatest common factor (GCF) of 34650 and 34657 is 7.

GCF(34650,34657) = 7

We will now calculate the prime factors of 34650 and 34657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34650 and 34657.

How to find the GCF of 34650 and 34657?

We will first find the prime factorization of 34650 and 34657. After we will calculate the factors of 34650 and 34657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34657

Prime factors of 34657 are 7, 4951. Prime factorization of 34657 in exponential form is:

34657 = 7¹ × 4951¹

Step-3: Factors of 34650

List of positive integer factors of 34650 that divides 34650 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

Step-4: Factors of 34657

List of positive integer factors of 34657 that divides 34650 without a remainder.

1, 7, 4951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34650 and 34657. The biggest common factor number is the GCF number.
So the greatest common factor 34650 and 34657 is 7.

Also check out the Least Common Multiple of 34650 and 34657