What is the Greatest Common Factor of 25140 and 25149?

Greatest common factor (GCF) of 25140 and 25149 is 3.

GCF(25140,25149) = 3

We will now calculate the prime factors of 25140 and 25149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25140 and 25149.

How to find the GCF of 25140 and 25149?

We will first find the prime factorization of 25140 and 25149. After we will calculate the factors of 25140 and 25149 and find the biggest common factor number .

Step-1: Prime Factorization of 25140

Prime factors of 25140 are 2, 3, 5, 419. Prime factorization of 25140 in exponential form is:

25140 = 2² × 3¹ × 5¹ × 419¹

Step-2: 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-3: Factors of 25140

List of positive integer factors of 25140 that divides 25140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 419, 838, 1257, 1676, 2095, 2514, 4190, 5028, 6285, 8380, 12570

Step-4: Factors of 25149

List of positive integer factors of 25149 that divides 25140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25140 and 25149. The biggest common factor number is the GCF number.
So the greatest common factor 25140 and 25149 is 3.

Also check out the Least Common Multiple of 25140 and 25149