What is the Greatest Common Factor of 80064 and 80068?

Greatest common factor (GCF) of 80064 and 80068 is 4.

GCF(80064,80068) = 4

We will now calculate the prime factors of 80064 and 80068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80064 and 80068.

How to find the GCF of 80064 and 80068?

We will first find the prime factorization of 80064 and 80068. After we will calculate the factors of 80064 and 80068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80068

Prime factors of 80068 are 2, 37, 541. Prime factorization of 80068 in exponential form is:

80068 = 2² × 37¹ × 541¹

Step-3: Factors of 80064

List of positive integer factors of 80064 that divides 80064 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

Step-4: Factors of 80068

List of positive integer factors of 80068 that divides 80064 without a remainder.

1, 2, 4, 37, 74, 148, 541, 1082, 2164, 20017, 40034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80064 and 80068. The biggest common factor number is the GCF number.
So the greatest common factor 80064 and 80068 is 4.

Also check out the Least Common Multiple of 80064 and 80068