What is the Greatest Common Factor of 80064 and 80070?

Greatest common factor (GCF) of 80064 and 80070 is 6.

GCF(80064,80070) = 6

We will now calculate the prime factors of 80064 and 80070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80064 and 80070.

How to find the GCF of 80064 and 80070?

We will first find the prime factorization of 80064 and 80070. After we will calculate the factors of 80064 and 80070 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 80070

Prime factors of 80070 are 2, 3, 5, 17, 157. Prime factorization of 80070 in exponential form is:

80070 = 2¹ × 3¹ × 5¹ × 17¹ × 157¹

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 80070

List of positive integer factors of 80070 that divides 80064 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 157, 170, 255, 314, 471, 510, 785, 942, 1570, 2355, 2669, 4710, 5338, 8007, 13345, 16014, 26690, 40035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80064 and 80070. The biggest common factor number is the GCF number.
So the greatest common factor 80064 and 80070 is 6.

Also check out the Least Common Multiple of 80064 and 80070