What is the Greatest Common Factor of 25312 and 25326?

Greatest common factor (GCF) of 25312 and 25326 is 14.

GCF(25312,25326) = 14

We will now calculate the prime factors of 25312 and 25326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25312 and 25326.

How to find the GCF of 25312 and 25326?

We will first find the prime factorization of 25312 and 25326. After we will calculate the factors of 25312 and 25326 and find the biggest common factor number .

Step-1: Prime Factorization of 25312

Prime factors of 25312 are 2, 7, 113. Prime factorization of 25312 in exponential form is:

25312 = 2⁵ × 7¹ × 113¹

Step-2: Prime Factorization of 25326

Prime factors of 25326 are 2, 3, 7, 67. Prime factorization of 25326 in exponential form is:

25326 = 2¹ × 3³ × 7¹ × 67¹

Step-3: Factors of 25312

List of positive integer factors of 25312 that divides 25312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 113, 224, 226, 452, 791, 904, 1582, 1808, 3164, 3616, 6328, 12656

Step-4: Factors of 25326

List of positive integer factors of 25326 that divides 25312 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 67, 126, 134, 189, 201, 378, 402, 469, 603, 938, 1206, 1407, 1809, 2814, 3618, 4221, 8442, 12663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25312 and 25326. The biggest common factor number is the GCF number.
So the greatest common factor 25312 and 25326 is 14.

Also check out the Least Common Multiple of 25312 and 25326