What is the Greatest Common Factor of 25434 and 25440?

Greatest common factor (GCF) of 25434 and 25440 is 6.

GCF(25434,25440) = 6

We will now calculate the prime factors of 25434 and 25440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25434 and 25440.

How to find the GCF of 25434 and 25440?

We will first find the prime factorization of 25434 and 25440. After we will calculate the factors of 25434 and 25440 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 25440

Prime factors of 25440 are 2, 3, 5, 53. Prime factorization of 25440 in exponential form is:

25440 = 2⁵ × 3¹ × 5¹ × 53¹

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 25440

List of positive integer factors of 25440 that divides 25434 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 80, 96, 106, 120, 159, 160, 212, 240, 265, 318, 424, 480, 530, 636, 795, 848, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 4240, 5088, 6360, 8480, 12720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25434 and 25440. The biggest common factor number is the GCF number.
So the greatest common factor 25434 and 25440 is 6.

Also check out the Least Common Multiple of 25434 and 25440