What is the Greatest Common Factor of 25438 and 25454?

Greatest common factor (GCF) of 25438 and 25454 is 2.

GCF(25438,25454) = 2

We will now calculate the prime factors of 25438 and 25454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25438 and 25454.

How to find the GCF of 25438 and 25454?

We will first find the prime factorization of 25438 and 25454. After we will calculate the factors of 25438 and 25454 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25454

Prime factors of 25454 are 2, 11, 13, 89. Prime factorization of 25454 in exponential form is:

25454 = 2¹ × 11¹ × 13¹ × 89¹

Step-3: Factors of 25438

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

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

Step-4: Factors of 25454

List of positive integer factors of 25454 that divides 25438 without a remainder.

1, 2, 11, 13, 22, 26, 89, 143, 178, 286, 979, 1157, 1958, 2314, 12727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25438 and 25454. The biggest common factor number is the GCF number.
So the greatest common factor 25438 and 25454 is 2.

Also check out the Least Common Multiple of 25438 and 25454