What is the Greatest Common Factor of 25050 and 25070?

Greatest common factor (GCF) of 25050 and 25070 is 10.

GCF(25050,25070) = 10

We will now calculate the prime factors of 25050 and 25070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25050 and 25070.

How to find the GCF of 25050 and 25070?

We will first find the prime factorization of 25050 and 25070. After we will calculate the factors of 25050 and 25070 and find the biggest common factor number .

Step-1: 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-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 25050

List of positive integer factors of 25050 that divides 25050 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

Step-4: Factors of 25070

List of positive integer factors of 25070 that divides 25050 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 25050 and 25070. The biggest common factor number is the GCF number.
So the greatest common factor 25050 and 25070 is 10.

Also check out the Least Common Multiple of 25050 and 25070