What is the Greatest Common Factor of 25065 and 25070?

Greatest common factor (GCF) of 25065 and 25070 is 5.

GCF(25065,25070) = 5

We will now calculate the prime factors of 25065 and 25070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25065 and 25070.

How to find the GCF of 25065 and 25070?

We will first find the prime factorization of 25065 and 25070. After we will calculate the factors of 25065 and 25070 and find the biggest common factor number .

Step-1: Prime Factorization of 25065

Prime factors of 25065 are 3, 5, 557. Prime factorization of 25065 in exponential form is:

25065 = 3² × 5¹ × 557¹

Step-2: Prime Factorization of 25070

Prime factors of 25070 are 2, 5, 23, 109. Prime factorization of 25070 in exponential form is:

25070 = 2¹ × 5¹ × 23¹ × 109¹

Step-3: Factors of 25065

List of positive integer factors of 25065 that divides 25065 without a remainder.

1, 3, 5, 9, 15, 45, 557, 1671, 2785, 5013, 8355

Step-4: Factors of 25070

List of positive integer factors of 25070 that divides 25065 without a remainder.

1, 2, 5, 10, 23, 46, 109, 115, 218, 230, 545, 1090, 2507, 5014, 12535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25065 and 25070. The biggest common factor number is the GCF number.
So the greatest common factor 25065 and 25070 is 5.

Also check out the Least Common Multiple of 25065 and 25070