What is the Greatest Common Factor of 78045 and 78054?

Greatest common factor (GCF) of 78045 and 78054 is 3.

GCF(78045,78054) = 3

We will now calculate the prime factors of 78045 and 78054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78045 and 78054.

How to find the GCF of 78045 and 78054?

We will first find the prime factorization of 78045 and 78054. After we will calculate the factors of 78045 and 78054 and find the biggest common factor number .

Step-1: Prime Factorization of 78045

Prime factors of 78045 are 3, 5, 11, 43. Prime factorization of 78045 in exponential form is:

78045 = 3¹ × 5¹ × 11² × 43¹

Step-2: Prime Factorization of 78054

Prime factors of 78054 are 2, 3, 13009. Prime factorization of 78054 in exponential form is:

78054 = 2¹ × 3¹ × 13009¹

Step-3: Factors of 78045

List of positive integer factors of 78045 that divides 78045 without a remainder.

1, 3, 5, 11, 15, 33, 43, 55, 121, 129, 165, 215, 363, 473, 605, 645, 1419, 1815, 2365, 5203, 7095, 15609, 26015

Step-4: Factors of 78054

List of positive integer factors of 78054 that divides 78045 without a remainder.

1, 2, 3, 6, 13009, 26018, 39027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78045 and 78054. The biggest common factor number is the GCF number.
So the greatest common factor 78045 and 78054 is 3.

Also check out the Least Common Multiple of 78045 and 78054