What is the Greatest Common Factor of 25035 and 25040?

Greatest common factor (GCF) of 25035 and 25040 is 5.

GCF(25035,25040) = 5

We will now calculate the prime factors of 25035 and 25040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25035 and 25040.

How to find the GCF of 25035 and 25040?

We will first find the prime factorization of 25035 and 25040. After we will calculate the factors of 25035 and 25040 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 25040

Prime factors of 25040 are 2, 5, 313. Prime factorization of 25040 in exponential form is:

25040 = 2⁴ × 5¹ × 313¹

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 25040

List of positive integer factors of 25040 that divides 25035 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 313, 626, 1252, 1565, 2504, 3130, 5008, 6260, 12520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25035 and 25040. The biggest common factor number is the GCF number.
So the greatest common factor 25035 and 25040 is 5.

Also check out the Least Common Multiple of 25035 and 25040