What is the Greatest Common Factor of 78062 and 78080?

Greatest common factor (GCF) of 78062 and 78080 is 2.

GCF(78062,78080) = 2

We will now calculate the prime factors of 78062 and 78080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78062 and 78080.

How to find the GCF of 78062 and 78080?

We will first find the prime factorization of 78062 and 78080. After we will calculate the factors of 78062 and 78080 and find the biggest common factor number .

Step-1: Prime Factorization of 78062

Prime factors of 78062 are 2, 23, 1697. Prime factorization of 78062 in exponential form is:

78062 = 2¹ × 23¹ × 1697¹

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 78062

List of positive integer factors of 78062 that divides 78062 without a remainder.

1, 2, 23, 46, 1697, 3394, 39031

Step-4: Factors of 78080

List of positive integer factors of 78080 that divides 78062 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 78062 and 78080. The biggest common factor number is the GCF number.
So the greatest common factor 78062 and 78080 is 2.

Also check out the Least Common Multiple of 78062 and 78080