What is the Greatest Common Factor of 73365 and 73370?

Greatest common factor (GCF) of 73365 and 73370 is 5.

GCF(73365,73370) = 5

We will now calculate the prime factors of 73365 and 73370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73365 and 73370.

How to find the GCF of 73365 and 73370?

We will first find the prime factorization of 73365 and 73370. After we will calculate the factors of 73365 and 73370 and find the biggest common factor number .

Step-1: Prime Factorization of 73365

Prime factors of 73365 are 3, 5, 67, 73. Prime factorization of 73365 in exponential form is:

73365 = 3¹ × 5¹ × 67¹ × 73¹

Step-2: Prime Factorization of 73370

Prime factors of 73370 are 2, 5, 11, 23, 29. Prime factorization of 73370 in exponential form is:

73370 = 2¹ × 5¹ × 11¹ × 23¹ × 29¹

Step-3: Factors of 73365

List of positive integer factors of 73365 that divides 73365 without a remainder.

1, 3, 5, 15, 67, 73, 201, 219, 335, 365, 1005, 1095, 4891, 14673, 24455

Step-4: Factors of 73370

List of positive integer factors of 73370 that divides 73365 without a remainder.

1, 2, 5, 10, 11, 22, 23, 29, 46, 55, 58, 110, 115, 145, 230, 253, 290, 319, 506, 638, 667, 1265, 1334, 1595, 2530, 3190, 3335, 6670, 7337, 14674, 36685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73365 and 73370. The biggest common factor number is the GCF number.
So the greatest common factor 73365 and 73370 is 5.

Also check out the Least Common Multiple of 73365 and 73370