What is the Greatest Common Factor of 25434 and 25438?

Greatest common factor (GCF) of 25434 and 25438 is 2.

GCF(25434,25438) = 2

We will now calculate the prime factors of 25434 and 25438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25434 and 25438.

How to find the GCF of 25434 and 25438?

We will first find the prime factorization of 25434 and 25438. After we will calculate the factors of 25434 and 25438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25438

Prime factors of 25438 are 2, 7, 23, 79. Prime factorization of 25438 in exponential form is:

25438 = 2¹ × 7¹ × 23¹ × 79¹

Step-3: Factors of 25434

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

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

Step-4: Factors of 25438

List of positive integer factors of 25438 that divides 25434 without a remainder.

1, 2, 7, 14, 23, 46, 79, 158, 161, 322, 553, 1106, 1817, 3634, 12719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25434 and 25438. The biggest common factor number is the GCF number.
So the greatest common factor 25434 and 25438 is 2.

Also check out the Least Common Multiple of 25434 and 25438