What is the Greatest Common Factor of 25326 and 25333?

Greatest common factor (GCF) of 25326 and 25333 is 7.

GCF(25326,25333) = 7

We will now calculate the prime factors of 25326 and 25333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25326 and 25333.

How to find the GCF of 25326 and 25333?

We will first find the prime factorization of 25326 and 25333. After we will calculate the factors of 25326 and 25333 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25333

Prime factors of 25333 are 7, 11, 47. Prime factorization of 25333 in exponential form is:

25333 = 7² × 11¹ × 47¹

Step-3: Factors of 25326

List of positive integer factors of 25326 that divides 25326 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

Step-4: Factors of 25333

List of positive integer factors of 25333 that divides 25326 without a remainder.

1, 7, 11, 47, 49, 77, 329, 517, 539, 2303, 3619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25326 and 25333. The biggest common factor number is the GCF number.
So the greatest common factor 25326 and 25333 is 7.

Also check out the Least Common Multiple of 25326 and 25333