What is the Greatest Common Factor of 25149 and 25164?

Greatest common factor (GCF) of 25149 and 25164 is 3.

GCF(25149,25164) = 3

We will now calculate the prime factors of 25149 and 25164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25149 and 25164.

How to find the GCF of 25149 and 25164?

We will first find the prime factorization of 25149 and 25164. After we will calculate the factors of 25149 and 25164 and find the biggest common factor number .

Step-1: Prime Factorization of 25149

Prime factors of 25149 are 3, 83, 101. Prime factorization of 25149 in exponential form is:

25149 = 3¹ × 83¹ × 101¹

Step-2: Prime Factorization of 25164

Prime factors of 25164 are 2, 3, 233. Prime factorization of 25164 in exponential form is:

25164 = 2² × 3³ × 233¹

Step-3: Factors of 25149

List of positive integer factors of 25149 that divides 25149 without a remainder.

1, 3, 83, 101, 249, 303, 8383

Step-4: Factors of 25164

List of positive integer factors of 25164 that divides 25149 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 6291, 8388, 12582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25149 and 25164. The biggest common factor number is the GCF number.
So the greatest common factor 25149 and 25164 is 3.

Also check out the Least Common Multiple of 25149 and 25164