What is the Greatest Common Factor of 25480 and 25494?

Greatest common factor (GCF) of 25480 and 25494 is 14.

GCF(25480,25494) = 14

We will now calculate the prime factors of 25480 and 25494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25480 and 25494.

How to find the GCF of 25480 and 25494?

We will first find the prime factorization of 25480 and 25494. After we will calculate the factors of 25480 and 25494 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 25494

Prime factors of 25494 are 2, 3, 7, 607. Prime factorization of 25494 in exponential form is:

25494 = 2¹ × 3¹ × 7¹ × 607¹

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 25494

List of positive integer factors of 25494 that divides 25480 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 607, 1214, 1821, 3642, 4249, 8498, 12747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25480 and 25494. The biggest common factor number is the GCF number.
So the greatest common factor 25480 and 25494 is 14.

Also check out the Least Common Multiple of 25480 and 25494