What is the Greatest Common Factor of 26362 and 26376?

Greatest common factor (GCF) of 26362 and 26376 is 14.

GCF(26362,26376) = 14

We will now calculate the prime factors of 26362 and 26376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26362 and 26376.

How to find the GCF of 26362 and 26376?

We will first find the prime factorization of 26362 and 26376. After we will calculate the factors of 26362 and 26376 and find the biggest common factor number .

Step-1: Prime Factorization of 26362

Prime factors of 26362 are 2, 7, 269. Prime factorization of 26362 in exponential form is:

26362 = 2¹ × 7² × 269¹

Step-2: Prime Factorization of 26376

Prime factors of 26376 are 2, 3, 7, 157. Prime factorization of 26376 in exponential form is:

26376 = 2³ × 3¹ × 7¹ × 157¹

Step-3: Factors of 26362

List of positive integer factors of 26362 that divides 26362 without a remainder.

1, 2, 7, 14, 49, 98, 269, 538, 1883, 3766, 13181

Step-4: Factors of 26376

List of positive integer factors of 26376 that divides 26362 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 157, 168, 314, 471, 628, 942, 1099, 1256, 1884, 2198, 3297, 3768, 4396, 6594, 8792, 13188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26362 and 26376. The biggest common factor number is the GCF number.
So the greatest common factor 26362 and 26376 is 14.

Also check out the Least Common Multiple of 26362 and 26376