What is the Greatest Common Factor of 78039 and 78048?

Greatest common factor (GCF) of 78039 and 78048 is 9.

GCF(78039,78048) = 9

We will now calculate the prime factors of 78039 and 78048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78039 and 78048.

How to find the GCF of 78039 and 78048?

We will first find the prime factorization of 78039 and 78048. After we will calculate the factors of 78039 and 78048 and find the biggest common factor number .

Step-1: Prime Factorization of 78039

Prime factors of 78039 are 3, 13, 23, 29. Prime factorization of 78039 in exponential form is:

78039 = 3² × 13¹ × 23¹ × 29¹

Step-2: Prime Factorization of 78048

Prime factors of 78048 are 2, 3, 271. Prime factorization of 78048 in exponential form is:

78048 = 2⁵ × 3² × 271¹

Step-3: Factors of 78039

List of positive integer factors of 78039 that divides 78039 without a remainder.

1, 3, 9, 13, 23, 29, 39, 69, 87, 117, 207, 261, 299, 377, 667, 897, 1131, 2001, 2691, 3393, 6003, 8671, 26013

Step-4: Factors of 78048

List of positive integer factors of 78048 that divides 78039 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 271, 288, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 8672, 9756, 13008, 19512, 26016, 39024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78039 and 78048. The biggest common factor number is the GCF number.
So the greatest common factor 78039 and 78048 is 9.

Also check out the Least Common Multiple of 78039 and 78048