What is the Greatest Common Factor of 73830 and 73839?

Greatest common factor (GCF) of 73830 and 73839 is 3.

GCF(73830,73839) = 3

We will now calculate the prime factors of 73830 and 73839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73830 and 73839.

How to find the GCF of 73830 and 73839?

We will first find the prime factorization of 73830 and 73839. After we will calculate the factors of 73830 and 73839 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 73839

Prime factors of 73839 are 3, 151, 163. Prime factorization of 73839 in exponential form is:

73839 = 3¹ × 151¹ × 163¹

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 73839

List of positive integer factors of 73839 that divides 73830 without a remainder.

1, 3, 151, 163, 453, 489, 24613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73830 and 73839. The biggest common factor number is the GCF number.
So the greatest common factor 73830 and 73839 is 3.

Also check out the Least Common Multiple of 73830 and 73839