What is the Greatest Common Factor of 78045 and 78049?

Greatest common factor (GCF) of 78045 and 78049 is 1.

GCF(78045,78049) = 1

We will now calculate the prime factors of 78045 and 78049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78045 and 78049.

How to find the GCF of 78045 and 78049?

We will first find the prime factorization of 78045 and 78049. After we will calculate the factors of 78045 and 78049 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 78049

Prime factors of 78049 are 78049. Prime factorization of 78049 in exponential form is:

78049 = 78049¹

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 78049

List of positive integer factors of 78049 that divides 78045 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78045 and 78049. The biggest common factor number is the GCF number.
So the greatest common factor 78045 and 78049 is 1.

Also check out the Least Common Multiple of 78045 and 78049