What is the Greatest Common Factor of 73635 and 73640?

Greatest common factor (GCF) of 73635 and 73640 is 5.

GCF(73635,73640) = 5

We will now calculate the prime factors of 73635 and 73640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73635 and 73640.

How to find the GCF of 73635 and 73640?

We will first find the prime factorization of 73635 and 73640. After we will calculate the factors of 73635 and 73640 and find the biggest common factor number .

Step-1: Prime Factorization of 73635

Prime factors of 73635 are 3, 5, 4909. Prime factorization of 73635 in exponential form is:

73635 = 3¹ × 5¹ × 4909¹

Step-2: Prime Factorization of 73640

Prime factors of 73640 are 2, 5, 7, 263. Prime factorization of 73640 in exponential form is:

73640 = 2³ × 5¹ × 7¹ × 263¹

Step-3: Factors of 73635

List of positive integer factors of 73635 that divides 73635 without a remainder.

1, 3, 5, 15, 4909, 14727, 24545

Step-4: Factors of 73640

List of positive integer factors of 73640 that divides 73635 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 263, 280, 526, 1052, 1315, 1841, 2104, 2630, 3682, 5260, 7364, 9205, 10520, 14728, 18410, 36820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73635 and 73640. The biggest common factor number is the GCF number.
So the greatest common factor 73635 and 73640 is 5.

Also check out the Least Common Multiple of 73635 and 73640