What is the Greatest Common Factor of 25035 and 25050?

Greatest common factor (GCF) of 25035 and 25050 is 15.

GCF(25035,25050) = 15

We will now calculate the prime factors of 25035 and 25050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25035 and 25050.

How to find the GCF of 25035 and 25050?

We will first find the prime factorization of 25035 and 25050. After we will calculate the factors of 25035 and 25050 and find the biggest common factor number .

Step-1: Prime Factorization of 25035

Prime factors of 25035 are 3, 5, 1669. Prime factorization of 25035 in exponential form is:

25035 = 3¹ × 5¹ × 1669¹

Step-2: Prime Factorization of 25050

Prime factors of 25050 are 2, 3, 5, 167. Prime factorization of 25050 in exponential form is:

25050 = 2¹ × 3¹ × 5² × 167¹

Step-3: Factors of 25035

List of positive integer factors of 25035 that divides 25035 without a remainder.

1, 3, 5, 15, 1669, 5007, 8345

Step-4: Factors of 25050

List of positive integer factors of 25050 that divides 25035 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 167, 334, 501, 835, 1002, 1670, 2505, 4175, 5010, 8350, 12525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25035 and 25050. The biggest common factor number is the GCF number.
So the greatest common factor 25035 and 25050 is 15.

Also check out the Least Common Multiple of 25035 and 25050