What is the Greatest Common Factor of 25140 and 25145?

Greatest common factor (GCF) of 25140 and 25145 is 5.

GCF(25140,25145) = 5

We will now calculate the prime factors of 25140 and 25145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25140 and 25145.

How to find the GCF of 25140 and 25145?

We will first find the prime factorization of 25140 and 25145. After we will calculate the factors of 25140 and 25145 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 25145

Prime factors of 25145 are 5, 47, 107. Prime factorization of 25145 in exponential form is:

25145 = 5¹ × 47¹ × 107¹

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 25145

List of positive integer factors of 25145 that divides 25140 without a remainder.

1, 5, 47, 107, 235, 535, 5029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25140 and 25145. The biggest common factor number is the GCF number.
So the greatest common factor 25140 and 25145 is 5.

Also check out the Least Common Multiple of 25140 and 25145