What is the Greatest Common Factor of 26032 and 26050?

Greatest common factor (GCF) of 26032 and 26050 is 2.

GCF(26032,26050) = 2

We will now calculate the prime factors of 26032 and 26050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26032 and 26050.

How to find the GCF of 26032 and 26050?

We will first find the prime factorization of 26032 and 26050. After we will calculate the factors of 26032 and 26050 and find the biggest common factor number .

Step-1: Prime Factorization of 26032

Prime factors of 26032 are 2, 1627. Prime factorization of 26032 in exponential form is:

26032 = 2⁴ × 1627¹

Step-2: Prime Factorization of 26050

Prime factors of 26050 are 2, 5, 521. Prime factorization of 26050 in exponential form is:

26050 = 2¹ × 5² × 521¹

Step-3: Factors of 26032

List of positive integer factors of 26032 that divides 26032 without a remainder.

1, 2, 4, 8, 16, 1627, 3254, 6508, 13016

Step-4: Factors of 26050

List of positive integer factors of 26050 that divides 26032 without a remainder.

1, 2, 5, 10, 25, 50, 521, 1042, 2605, 5210, 13025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26032 and 26050. The biggest common factor number is the GCF number.
So the greatest common factor 26032 and 26050 is 2.

Also check out the Least Common Multiple of 26032 and 26050