What is the Greatest Common Factor of 3640 and 3650?

Greatest common factor (GCF) of 3640 and 3650 is 10.

GCF(3640,3650) = 10

We will now calculate the prime factors of 3640 and 3650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3640 and 3650.

How to find the GCF of 3640 and 3650?

We will first find the prime factorization of 3640 and 3650. After we will calculate the factors of 3640 and 3650 and find the biggest common factor number .

Step-1: Prime Factorization of 3640

Prime factors of 3640 are 2, 5, 7, 13. Prime factorization of 3640 in exponential form is:

3640 = 2³ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 3650

Prime factors of 3650 are 2, 5, 73. Prime factorization of 3650 in exponential form is:

3650 = 2¹ × 5² × 73¹

Step-3: Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820

Step-4: Factors of 3650

List of positive integer factors of 3650 that divides 3640 without a remainder.

1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3640 and 3650. The biggest common factor number is the GCF number.
So the greatest common factor 3640 and 3650 is 10.

Also check out the Least Common Multiple of 3640 and 3650