What is the Greatest Common Factor of 78055 and 78060?

Greatest common factor (GCF) of 78055 and 78060 is 5.

GCF(78055,78060) = 5

We will now calculate the prime factors of 78055 and 78060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78055 and 78060.

How to find the GCF of 78055 and 78060?

We will first find the prime factorization of 78055 and 78060. After we will calculate the factors of 78055 and 78060 and find the biggest common factor number .

Step-1: Prime Factorization of 78055

Prime factors of 78055 are 5, 67, 233. Prime factorization of 78055 in exponential form is:

78055 = 5¹ × 67¹ × 233¹

Step-2: Prime Factorization of 78060

Prime factors of 78060 are 2, 3, 5, 1301. Prime factorization of 78060 in exponential form is:

78060 = 2² × 3¹ × 5¹ × 1301¹

Step-3: Factors of 78055

List of positive integer factors of 78055 that divides 78055 without a remainder.

1, 5, 67, 233, 335, 1165, 15611

Step-4: Factors of 78060

List of positive integer factors of 78060 that divides 78055 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1301, 2602, 3903, 5204, 6505, 7806, 13010, 15612, 19515, 26020, 39030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78055 and 78060. The biggest common factor number is the GCF number.
So the greatest common factor 78055 and 78060 is 5.

Also check out the Least Common Multiple of 78055 and 78060