What is the Greatest Common Factor of 25480 and 25493?

Greatest common factor (GCF) of 25480 and 25493 is 13.

GCF(25480,25493) = 13

We will now calculate the prime factors of 25480 and 25493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25480 and 25493.

How to find the GCF of 25480 and 25493?

We will first find the prime factorization of 25480 and 25493. After we will calculate the factors of 25480 and 25493 and find the biggest common factor number .

Step-1: Prime Factorization of 25480

Prime factors of 25480 are 2, 5, 7, 13. Prime factorization of 25480 in exponential form is:

25480 = 2³ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 25493

Prime factors of 25493 are 13, 37, 53. Prime factorization of 25493 in exponential form is:

25493 = 13¹ × 37¹ × 53¹

Step-3: Factors of 25480

List of positive integer factors of 25480 that divides 25480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 91, 98, 104, 130, 140, 182, 196, 245, 260, 280, 364, 392, 455, 490, 520, 637, 728, 910, 980, 1274, 1820, 1960, 2548, 3185, 3640, 5096, 6370, 12740

Step-4: Factors of 25493

List of positive integer factors of 25493 that divides 25480 without a remainder.

1, 13, 37, 53, 481, 689, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25480 and 25493. The biggest common factor number is the GCF number.
So the greatest common factor 25480 and 25493 is 13.

Also check out the Least Common Multiple of 25480 and 25493