What is the Greatest Common Factor of 80056 and 80064?

Greatest common factor (GCF) of 80056 and 80064 is 8.

GCF(80056,80064) = 8

We will now calculate the prime factors of 80056 and 80064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80056 and 80064.

How to find the GCF of 80056 and 80064?

We will first find the prime factorization of 80056 and 80064. After we will calculate the factors of 80056 and 80064 and find the biggest common factor number .

Step-1: Prime Factorization of 80056

Prime factors of 80056 are 2, 10007. Prime factorization of 80056 in exponential form is:

80056 = 2³ × 10007¹

Step-2: Prime Factorization of 80064

Prime factors of 80064 are 2, 3, 139. Prime factorization of 80064 in exponential form is:

80064 = 2⁶ × 3² × 139¹

Step-3: Factors of 80056

List of positive integer factors of 80056 that divides 80056 without a remainder.

1, 2, 4, 8, 10007, 20014, 40028

Step-4: Factors of 80064

List of positive integer factors of 80064 that divides 80056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 139, 144, 192, 278, 288, 417, 556, 576, 834, 1112, 1251, 1668, 2224, 2502, 3336, 4448, 5004, 6672, 8896, 10008, 13344, 20016, 26688, 40032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80056 and 80064. The biggest common factor number is the GCF number.
So the greatest common factor 80056 and 80064 is 8.

Also check out the Least Common Multiple of 80056 and 80064