What is the Greatest Common Factor of 25929 and 25944?

Greatest common factor (GCF) of 25929 and 25944 is 3.

GCF(25929,25944) = 3

We will now calculate the prime factors of 25929 and 25944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25929 and 25944.

How to find the GCF of 25929 and 25944?

We will first find the prime factorization of 25929 and 25944. After we will calculate the factors of 25929 and 25944 and find the biggest common factor number .

Step-1: Prime Factorization of 25929

Prime factors of 25929 are 3, 43, 67. Prime factorization of 25929 in exponential form is:

25929 = 3² × 43¹ × 67¹

Step-2: Prime Factorization of 25944

Prime factors of 25944 are 2, 3, 23, 47. Prime factorization of 25944 in exponential form is:

25944 = 2³ × 3¹ × 23¹ × 47¹

Step-3: Factors of 25929

List of positive integer factors of 25929 that divides 25929 without a remainder.

1, 3, 9, 43, 67, 129, 201, 387, 603, 2881, 8643

Step-4: Factors of 25944

List of positive integer factors of 25944 that divides 25929 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 47, 69, 92, 94, 138, 141, 184, 188, 276, 282, 376, 552, 564, 1081, 1128, 2162, 3243, 4324, 6486, 8648, 12972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25929 and 25944. The biggest common factor number is the GCF number.
So the greatest common factor 25929 and 25944 is 3.

Also check out the Least Common Multiple of 25929 and 25944