What is the Greatest Common Factor of 25440 and 25450?

Greatest common factor (GCF) of 25440 and 25450 is 10.

GCF(25440,25450) = 10

We will now calculate the prime factors of 25440 and 25450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25440 and 25450.

How to find the GCF of 25440 and 25450?

We will first find the prime factorization of 25440 and 25450. After we will calculate the factors of 25440 and 25450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25450

Prime factors of 25450 are 2, 5, 509. Prime factorization of 25450 in exponential form is:

25450 = 2¹ × 5² × 509¹

Step-3: Factors of 25440

List of positive integer factors of 25440 that divides 25440 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

Step-4: Factors of 25450

List of positive integer factors of 25450 that divides 25440 without a remainder.

1, 2, 5, 10, 25, 50, 509, 1018, 2545, 5090, 12725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25440 and 25450. The biggest common factor number is the GCF number.
So the greatest common factor 25440 and 25450 is 10.

Also check out the Least Common Multiple of 25440 and 25450