What is the Greatest Common Factor of 73839 and 73854?

Greatest common factor (GCF) of 73839 and 73854 is 3.

GCF(73839,73854) = 3

We will now calculate the prime factors of 73839 and 73854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73839 and 73854.

How to find the GCF of 73839 and 73854?

We will first find the prime factorization of 73839 and 73854. After we will calculate the factors of 73839 and 73854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73854

Prime factors of 73854 are 2, 3, 11, 373. Prime factorization of 73854 in exponential form is:

73854 = 2¹ × 3² × 11¹ × 373¹

Step-3: Factors of 73839

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

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

Step-4: Factors of 73854

List of positive integer factors of 73854 that divides 73839 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 373, 746, 1119, 2238, 3357, 4103, 6714, 8206, 12309, 24618, 36927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73839 and 73854. The biggest common factor number is the GCF number.
So the greatest common factor 73839 and 73854 is 3.

Also check out the Least Common Multiple of 73839 and 73854