What is the Greatest Common Factor of 25470 and 25480?

Greatest common factor (GCF) of 25470 and 25480 is 10.

GCF(25470,25480) = 10

We will now calculate the prime factors of 25470 and 25480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25470 and 25480.

How to find the GCF of 25470 and 25480?

We will first find the prime factorization of 25470 and 25480. After we will calculate the factors of 25470 and 25480 and find the biggest common factor number .

Step-1: Prime Factorization of 25470

Prime factors of 25470 are 2, 3, 5, 283. Prime factorization of 25470 in exponential form is:

25470 = 2¹ × 3² × 5¹ × 283¹

Step-2: 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-3: Factors of 25470

List of positive integer factors of 25470 that divides 25470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 283, 566, 849, 1415, 1698, 2547, 2830, 4245, 5094, 8490, 12735

Step-4: Factors of 25480

List of positive integer factors of 25480 that divides 25470 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25470 and 25480. The biggest common factor number is the GCF number.
So the greatest common factor 25470 and 25480 is 10.

Also check out the Least Common Multiple of 25470 and 25480