What is the Greatest Common Factor of 25140 and 25150?

Greatest common factor (GCF) of 25140 and 25150 is 10.

GCF(25140,25150) = 10

We will now calculate the prime factors of 25140 and 25150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25140 and 25150.

How to find the GCF of 25140 and 25150?

We will first find the prime factorization of 25140 and 25150. After we will calculate the factors of 25140 and 25150 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 25150

Prime factors of 25150 are 2, 5, 503. Prime factorization of 25150 in exponential form is:

25150 = 2¹ × 5² × 503¹

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 25150

List of positive integer factors of 25150 that divides 25140 without a remainder.

1, 2, 5, 10, 25, 50, 503, 1006, 2515, 5030, 12575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25140 and 25150. The biggest common factor number is the GCF number.
So the greatest common factor 25140 and 25150 is 10.

Also check out the Least Common Multiple of 25140 and 25150