What is the Greatest Common Factor of 73730 and 73740?

Greatest common factor (GCF) of 73730 and 73740 is 10.

GCF(73730,73740) = 10

We will now calculate the prime factors of 73730 and 73740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73730 and 73740.

How to find the GCF of 73730 and 73740?

We will first find the prime factorization of 73730 and 73740. After we will calculate the factors of 73730 and 73740 and find the biggest common factor number .

Step-1: Prime Factorization of 73730

Prime factors of 73730 are 2, 5, 73, 101. Prime factorization of 73730 in exponential form is:

73730 = 2¹ × 5¹ × 73¹ × 101¹

Step-2: Prime Factorization of 73740

Prime factors of 73740 are 2, 3, 5, 1229. Prime factorization of 73740 in exponential form is:

73740 = 2² × 3¹ × 5¹ × 1229¹

Step-3: Factors of 73730

List of positive integer factors of 73730 that divides 73730 without a remainder.

1, 2, 5, 10, 73, 101, 146, 202, 365, 505, 730, 1010, 7373, 14746, 36865

Step-4: Factors of 73740

List of positive integer factors of 73740 that divides 73730 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1229, 2458, 3687, 4916, 6145, 7374, 12290, 14748, 18435, 24580, 36870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73730 and 73740. The biggest common factor number is the GCF number.
So the greatest common factor 73730 and 73740 is 10.

Also check out the Least Common Multiple of 73730 and 73740