What is the Greatest Common Factor of 73830 and 73837?

Greatest common factor (GCF) of 73830 and 73837 is 1.

GCF(73830,73837) = 1

We will now calculate the prime factors of 73830 and 73837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73830 and 73837.

How to find the GCF of 73830 and 73837?

We will first find the prime factorization of 73830 and 73837. After we will calculate the factors of 73830 and 73837 and find the biggest common factor number .

Step-1: Prime Factorization of 73830

Prime factors of 73830 are 2, 3, 5, 23, 107. Prime factorization of 73830 in exponential form is:

73830 = 2¹ × 3¹ × 5¹ × 23¹ × 107¹

Step-2: Prime Factorization of 73837

Prime factors of 73837 are 47, 1571. Prime factorization of 73837 in exponential form is:

73837 = 47¹ × 1571¹

Step-3: Factors of 73830

List of positive integer factors of 73830 that divides 73830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 107, 115, 138, 214, 230, 321, 345, 535, 642, 690, 1070, 1605, 2461, 3210, 4922, 7383, 12305, 14766, 24610, 36915

Step-4: Factors of 73837

List of positive integer factors of 73837 that divides 73830 without a remainder.

1, 47, 1571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73830 and 73837. The biggest common factor number is the GCF number.
So the greatest common factor 73830 and 73837 is 1.

Also check out the Least Common Multiple of 73830 and 73837