What is the Greatest Common Factor of 25350 and 25370?

Greatest common factor (GCF) of 25350 and 25370 is 10.

GCF(25350,25370) = 10

We will now calculate the prime factors of 25350 and 25370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25350 and 25370.

How to find the GCF of 25350 and 25370?

We will first find the prime factorization of 25350 and 25370. After we will calculate the factors of 25350 and 25370 and find the biggest common factor number .

Step-1: Prime Factorization of 25350

Prime factors of 25350 are 2, 3, 5, 13. Prime factorization of 25350 in exponential form is:

25350 = 2¹ × 3¹ × 5² × 13²

Step-2: Prime Factorization of 25370

Prime factors of 25370 are 2, 5, 43, 59. Prime factorization of 25370 in exponential form is:

25370 = 2¹ × 5¹ × 43¹ × 59¹

Step-3: Factors of 25350

List of positive integer factors of 25350 that divides 25350 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 169, 195, 325, 338, 390, 507, 650, 845, 975, 1014, 1690, 1950, 2535, 4225, 5070, 8450, 12675

Step-4: Factors of 25370

List of positive integer factors of 25370 that divides 25350 without a remainder.

1, 2, 5, 10, 43, 59, 86, 118, 215, 295, 430, 590, 2537, 5074, 12685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25350 and 25370. The biggest common factor number is the GCF number.
So the greatest common factor 25350 and 25370 is 10.

Also check out the Least Common Multiple of 25350 and 25370