What is the Greatest Common Factor of 73535 and 73540?

Greatest common factor (GCF) of 73535 and 73540 is 5.

GCF(73535,73540) = 5

We will now calculate the prime factors of 73535 and 73540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73535 and 73540.

How to find the GCF of 73535 and 73540?

We will first find the prime factorization of 73535 and 73540. After we will calculate the factors of 73535 and 73540 and find the biggest common factor number .

Step-1: Prime Factorization of 73535

Prime factors of 73535 are 5, 7, 11, 191. Prime factorization of 73535 in exponential form is:

73535 = 5¹ × 7¹ × 11¹ × 191¹

Step-2: Prime Factorization of 73540

Prime factors of 73540 are 2, 5, 3677. Prime factorization of 73540 in exponential form is:

73540 = 2² × 5¹ × 3677¹

Step-3: Factors of 73535

List of positive integer factors of 73535 that divides 73535 without a remainder.

1, 5, 7, 11, 35, 55, 77, 191, 385, 955, 1337, 2101, 6685, 10505, 14707

Step-4: Factors of 73540

List of positive integer factors of 73540 that divides 73535 without a remainder.

1, 2, 4, 5, 10, 20, 3677, 7354, 14708, 18385, 36770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73535 and 73540. The biggest common factor number is the GCF number.
So the greatest common factor 73535 and 73540 is 5.

Also check out the Least Common Multiple of 73535 and 73540