What is the Greatest Common Factor of 26214 and 26234?

Greatest common factor (GCF) of 26214 and 26234 is 2.

GCF(26214,26234) = 2

We will now calculate the prime factors of 26214 and 26234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26214 and 26234.

How to find the GCF of 26214 and 26234?

We will first find the prime factorization of 26214 and 26234. After we will calculate the factors of 26214 and 26234 and find the biggest common factor number .

Step-1: Prime Factorization of 26214

Prime factors of 26214 are 2, 3, 17, 257. Prime factorization of 26214 in exponential form is:

26214 = 2¹ × 3¹ × 17¹ × 257¹

Step-2: Prime Factorization of 26234

Prime factors of 26234 are 2, 13, 1009. Prime factorization of 26234 in exponential form is:

26234 = 2¹ × 13¹ × 1009¹

Step-3: Factors of 26214

List of positive integer factors of 26214 that divides 26214 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 257, 514, 771, 1542, 4369, 8738, 13107

Step-4: Factors of 26234

List of positive integer factors of 26234 that divides 26214 without a remainder.

1, 2, 13, 26, 1009, 2018, 13117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26214 and 26234. The biggest common factor number is the GCF number.
So the greatest common factor 26214 and 26234 is 2.

Also check out the Least Common Multiple of 26214 and 26234