What is the Greatest Common Factor of 73370 and 73388?

Greatest common factor (GCF) of 73370 and 73388 is 2.

GCF(73370,73388) = 2

We will now calculate the prime factors of 73370 and 73388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73370 and 73388.

How to find the GCF of 73370 and 73388?

We will first find the prime factorization of 73370 and 73388. After we will calculate the factors of 73370 and 73388 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73388

Prime factors of 73388 are 2, 7, 2621. Prime factorization of 73388 in exponential form is:

73388 = 2² × 7¹ × 2621¹

Step-3: Factors of 73370

List of positive integer factors of 73370 that divides 73370 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

Step-4: Factors of 73388

List of positive integer factors of 73388 that divides 73370 without a remainder.

1, 2, 4, 7, 14, 28, 2621, 5242, 10484, 18347, 36694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73370 and 73388. The biggest common factor number is the GCF number.
So the greatest common factor 73370 and 73388 is 2.

Also check out the Least Common Multiple of 73370 and 73388