What is the Greatest Common Factor of 7643 and 7650?

Greatest common factor (GCF) of 7643 and 7650 is 1.

GCF(7643,7650) = 1

We will now calculate the prime factors of 7643 and 7650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7643 and 7650.

How to find the GCF of 7643 and 7650?

We will first find the prime factorization of 7643 and 7650. After we will calculate the factors of 7643 and 7650 and find the biggest common factor number .

Step-1: Prime Factorization of 7643

Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:

7643 = 7643¹

Step-2: Prime Factorization of 7650

Prime factors of 7650 are 2, 3, 5, 17. Prime factorization of 7650 in exponential form is:

7650 = 2¹ × 3² × 5² × 17¹

Step-3: Factors of 7643

List of positive integer factors of 7643 that divides 7643 without a remainder.

Step-4: Factors of 7650

List of positive integer factors of 7650 that divides 7643 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7643 and 7650. The biggest common factor number is the GCF number.
So the greatest common factor 7643 and 7650 is 1.

Also check out the Least Common Multiple of 7643 and 7650