What is the Greatest Common Factor of 25420 and 25434?

Greatest common factor (GCF) of 25420 and 25434 is 2.

GCF(25420,25434) = 2

We will now calculate the prime factors of 25420 and 25434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25420 and 25434.

How to find the GCF of 25420 and 25434?

We will first find the prime factorization of 25420 and 25434. After we will calculate the factors of 25420 and 25434 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 25434

Prime factors of 25434 are 2, 3, 157. Prime factorization of 25434 in exponential form is:

25434 = 2¹ × 3⁴ × 157¹

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 25434

List of positive integer factors of 25434 that divides 25420 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 157, 162, 314, 471, 942, 1413, 2826, 4239, 8478, 12717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25420 and 25434. The biggest common factor number is the GCF number.
So the greatest common factor 25420 and 25434 is 2.

Also check out the Least Common Multiple of 25420 and 25434