What is the Greatest Common Factor of 73540 and 73550?

Greatest common factor (GCF) of 73540 and 73550 is 10.

GCF(73540,73550) = 10

We will now calculate the prime factors of 73540 and 73550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73540 and 73550.

How to find the GCF of 73540 and 73550?

We will first find the prime factorization of 73540 and 73550. After we will calculate the factors of 73540 and 73550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73550

Prime factors of 73550 are 2, 5, 1471. Prime factorization of 73550 in exponential form is:

73550 = 2¹ × 5² × 1471¹

Step-3: Factors of 73540

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

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

Step-4: Factors of 73550

List of positive integer factors of 73550 that divides 73540 without a remainder.

1, 2, 5, 10, 25, 50, 1471, 2942, 7355, 14710, 36775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73540 and 73550. The biggest common factor number is the GCF number.
So the greatest common factor 73540 and 73550 is 10.

Also check out the Least Common Multiple of 73540 and 73550