What is the Greatest Common Factor of 25420 and 25430?

Greatest common factor (GCF) of 25420 and 25430 is 10.

GCF(25420,25430) = 10

We will now calculate the prime factors of 25420 and 25430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25420 and 25430.

How to find the GCF of 25420 and 25430?

We will first find the prime factorization of 25420 and 25430. After we will calculate the factors of 25420 and 25430 and find the biggest common factor number .

Step-1: Prime Factorization of 25420

Prime factors of 25420 are 2, 5, 31, 41. Prime factorization of 25420 in exponential form is:

25420 = 2² × 5¹ × 31¹ × 41¹

Step-2: Prime Factorization of 25430

Prime factors of 25430 are 2, 5, 2543. Prime factorization of 25430 in exponential form is:

25430 = 2¹ × 5¹ × 2543¹

Step-3: Factors of 25420

List of positive integer factors of 25420 that divides 25420 without a remainder.

1, 2, 4, 5, 10, 20, 31, 41, 62, 82, 124, 155, 164, 205, 310, 410, 620, 820, 1271, 2542, 5084, 6355, 12710

Step-4: Factors of 25430

List of positive integer factors of 25430 that divides 25420 without a remainder.

1, 2, 5, 10, 2543, 5086, 12715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25420 and 25430. The biggest common factor number is the GCF number.
So the greatest common factor 25420 and 25430 is 10.

Also check out the Least Common Multiple of 25420 and 25430