What is the Greatest Common Factor of 26123 and 26128?

Greatest common factor (GCF) of 26123 and 26128 is 1.

GCF(26123,26128) = 1

We will now calculate the prime factors of 26123 and 26128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26123 and 26128.

How to find the GCF of 26123 and 26128?

We will first find the prime factorization of 26123 and 26128. After we will calculate the factors of 26123 and 26128 and find the biggest common factor number .

Step-1: Prime Factorization of 26123

Prime factors of 26123 are 151, 173. Prime factorization of 26123 in exponential form is:

26123 = 151¹ × 173¹

Step-2: Prime Factorization of 26128

Prime factors of 26128 are 2, 23, 71. Prime factorization of 26128 in exponential form is:

26128 = 2⁴ × 23¹ × 71¹

Step-3: Factors of 26123

List of positive integer factors of 26123 that divides 26123 without a remainder.

1, 151, 173

Step-4: Factors of 26128

List of positive integer factors of 26128 that divides 26123 without a remainder.

1, 2, 4, 8, 16, 23, 46, 71, 92, 142, 184, 284, 368, 568, 1136, 1633, 3266, 6532, 13064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26123 and 26128. The biggest common factor number is the GCF number.
So the greatest common factor 26123 and 26128 is 1.

Also check out the Least Common Multiple of 26123 and 26128