What is the Greatest Common Factor of 26078 and 26096?

Greatest common factor (GCF) of 26078 and 26096 is 2.

GCF(26078,26096) = 2

We will now calculate the prime factors of 26078 and 26096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26078 and 26096.

How to find the GCF of 26078 and 26096?

We will first find the prime factorization of 26078 and 26096. After we will calculate the factors of 26078 and 26096 and find the biggest common factor number .

Step-1: Prime Factorization of 26078

Prime factors of 26078 are 2, 13, 17, 59. Prime factorization of 26078 in exponential form is:

26078 = 2¹ × 13¹ × 17¹ × 59¹

Step-2: Prime Factorization of 26096

Prime factors of 26096 are 2, 7, 233. Prime factorization of 26096 in exponential form is:

26096 = 2⁴ × 7¹ × 233¹

Step-3: Factors of 26078

List of positive integer factors of 26078 that divides 26078 without a remainder.

1, 2, 13, 17, 26, 34, 59, 118, 221, 442, 767, 1003, 1534, 2006, 13039

Step-4: Factors of 26096

List of positive integer factors of 26096 that divides 26078 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 233, 466, 932, 1631, 1864, 3262, 3728, 6524, 13048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26078 and 26096. The biggest common factor number is the GCF number.
So the greatest common factor 26078 and 26096 is 2.

Also check out the Least Common Multiple of 26078 and 26096