What is the Greatest Common Factor of 85025 and 85030?

Greatest common factor (GCF) of 85025 and 85030 is 5.

GCF(85025,85030) = 5

We will now calculate the prime factors of 85025 and 85030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85025 and 85030.

How to find the GCF of 85025 and 85030?

We will first find the prime factorization of 85025 and 85030. After we will calculate the factors of 85025 and 85030 and find the biggest common factor number .

Step-1: Prime Factorization of 85025

Prime factors of 85025 are 5, 19, 179. Prime factorization of 85025 in exponential form is:

85025 = 5² × 19¹ × 179¹

Step-2: Prime Factorization of 85030

Prime factors of 85030 are 2, 5, 11, 773. Prime factorization of 85030 in exponential form is:

85030 = 2¹ × 5¹ × 11¹ × 773¹

Step-3: Factors of 85025

List of positive integer factors of 85025 that divides 85025 without a remainder.

1, 5, 19, 25, 95, 179, 475, 895, 3401, 4475, 17005

Step-4: Factors of 85030

List of positive integer factors of 85030 that divides 85025 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 773, 1546, 3865, 7730, 8503, 17006, 42515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85025 and 85030. The biggest common factor number is the GCF number.
So the greatest common factor 85025 and 85030 is 5.

Also check out the Least Common Multiple of 85025 and 85030