What is the Greatest Common Factor of 26064 and 26080?

Greatest common factor (GCF) of 26064 and 26080 is 16.

GCF(26064,26080) = 16

We will now calculate the prime factors of 26064 and 26080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26064 and 26080.

How to find the GCF of 26064 and 26080?

We will first find the prime factorization of 26064 and 26080. After we will calculate the factors of 26064 and 26080 and find the biggest common factor number .

Step-1: Prime Factorization of 26064

Prime factors of 26064 are 2, 3, 181. Prime factorization of 26064 in exponential form is:

26064 = 2⁴ × 3² × 181¹

Step-2: Prime Factorization of 26080

Prime factors of 26080 are 2, 5, 163. Prime factorization of 26080 in exponential form is:

26080 = 2⁵ × 5¹ × 163¹

Step-3: Factors of 26064

List of positive integer factors of 26064 that divides 26064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 181, 362, 543, 724, 1086, 1448, 1629, 2172, 2896, 3258, 4344, 6516, 8688, 13032

Step-4: Factors of 26080

List of positive integer factors of 26080 that divides 26064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 163, 326, 652, 815, 1304, 1630, 2608, 3260, 5216, 6520, 13040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26064 and 26080. The biggest common factor number is the GCF number.
So the greatest common factor 26064 and 26080 is 16.

Also check out the Least Common Multiple of 26064 and 26080