What is the Greatest Common Factor of 26075 and 26080?

Greatest common factor (GCF) of 26075 and 26080 is 5.

GCF(26075,26080) = 5

We will now calculate the prime factors of 26075 and 26080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26075 and 26080.

How to find the GCF of 26075 and 26080?

We will first find the prime factorization of 26075 and 26080. After we will calculate the factors of 26075 and 26080 and find the biggest common factor number .

Step-1: Prime Factorization of 26075

Prime factors of 26075 are 5, 7, 149. Prime factorization of 26075 in exponential form is:

26075 = 5² × 7¹ × 149¹

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 26075

List of positive integer factors of 26075 that divides 26075 without a remainder.

1, 5, 7, 25, 35, 149, 175, 745, 1043, 3725, 5215

Step-4: Factors of 26080

List of positive integer factors of 26080 that divides 26075 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 26075 and 26080. The biggest common factor number is the GCF number.
So the greatest common factor 26075 and 26080 is 5.

Also check out the Least Common Multiple of 26075 and 26080