What is the Greatest Common Factor of 40824 and 40839?

Greatest common factor (GCF) of 40824 and 40839 is 3.

GCF(40824,40839) = 3

We will now calculate the prime factors of 40824 and 40839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40824 and 40839.

How to find the GCF of 40824 and 40839?

We will first find the prime factorization of 40824 and 40839. After we will calculate the factors of 40824 and 40839 and find the biggest common factor number .

Step-1: Prime Factorization of 40824

Prime factors of 40824 are 2, 3, 7. Prime factorization of 40824 in exponential form is:

40824 = 2³ × 3⁶ × 7¹

Step-2: Prime Factorization of 40839

Prime factors of 40839 are 3, 13613. Prime factorization of 40839 in exponential form is:

40839 = 3¹ × 13613¹

Step-3: Factors of 40824

List of positive integer factors of 40824 that divides 40824 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 243, 252, 324, 378, 486, 504, 567, 648, 729, 756, 972, 1134, 1458, 1512, 1701, 1944, 2268, 2916, 3402, 4536, 5103, 5832, 6804, 10206, 13608, 20412

Step-4: Factors of 40839

List of positive integer factors of 40839 that divides 40824 without a remainder.

1, 3, 13613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40824 and 40839. The biggest common factor number is the GCF number.
So the greatest common factor 40824 and 40839 is 3.

Also check out the Least Common Multiple of 40824 and 40839