What is the Greatest Common Factor of 78060 and 78080?

Greatest common factor (GCF) of 78060 and 78080 is 20.

GCF(78060,78080) = 20

We will now calculate the prime factors of 78060 and 78080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78060 and 78080.

How to find the GCF of 78060 and 78080?

We will first find the prime factorization of 78060 and 78080. After we will calculate the factors of 78060 and 78080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78080

Prime factors of 78080 are 2, 5, 61. Prime factorization of 78080 in exponential form is:

78080 = 2⁸ × 5¹ × 61¹

Step-3: Factors of 78060

List of positive integer factors of 78060 that divides 78060 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

Step-4: Factors of 78080

List of positive integer factors of 78080 that divides 78060 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 256, 305, 320, 488, 610, 640, 976, 1220, 1280, 1952, 2440, 3904, 4880, 7808, 9760, 15616, 19520, 39040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78060 and 78080. The biggest common factor number is the GCF number.
So the greatest common factor 78060 and 78080 is 20.

Also check out the Least Common Multiple of 78060 and 78080