What is the Greatest Common Factor of 26144 and 26156?

Greatest common factor (GCF) of 26144 and 26156 is 4.

GCF(26144,26156) = 4

We will now calculate the prime factors of 26144 and 26156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26144 and 26156.

How to find the GCF of 26144 and 26156?

We will first find the prime factorization of 26144 and 26156. After we will calculate the factors of 26144 and 26156 and find the biggest common factor number .

Step-1: Prime Factorization of 26144

Prime factors of 26144 are 2, 19, 43. Prime factorization of 26144 in exponential form is:

26144 = 2⁵ × 19¹ × 43¹

Step-2: Prime Factorization of 26156

Prime factors of 26156 are 2, 13, 503. Prime factorization of 26156 in exponential form is:

26156 = 2² × 13¹ × 503¹

Step-3: Factors of 26144

List of positive integer factors of 26144 that divides 26144 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 43, 76, 86, 152, 172, 304, 344, 608, 688, 817, 1376, 1634, 3268, 6536, 13072

Step-4: Factors of 26156

List of positive integer factors of 26156 that divides 26144 without a remainder.

1, 2, 4, 13, 26, 52, 503, 1006, 2012, 6539, 13078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26144 and 26156. The biggest common factor number is the GCF number.
So the greatest common factor 26144 and 26156 is 4.

Also check out the Least Common Multiple of 26144 and 26156