What is the Greatest Common Factor of 86025 and 86037?

Greatest common factor (GCF) of 86025 and 86037 is 3.

GCF(86025,86037) = 3

We will now calculate the prime factors of 86025 and 86037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86025 and 86037.

How to find the GCF of 86025 and 86037?

We will first find the prime factorization of 86025 and 86037. After we will calculate the factors of 86025 and 86037 and find the biggest common factor number .

Step-1: Prime Factorization of 86025

Prime factors of 86025 are 3, 5, 31, 37. Prime factorization of 86025 in exponential form is:

86025 = 3¹ × 5² × 31¹ × 37¹

Step-2: Prime Factorization of 86037

Prime factors of 86037 are 3, 7, 17, 241. Prime factorization of 86037 in exponential form is:

86037 = 3¹ × 7¹ × 17¹ × 241¹

Step-3: Factors of 86025

List of positive integer factors of 86025 that divides 86025 without a remainder.

1, 3, 5, 15, 25, 31, 37, 75, 93, 111, 155, 185, 465, 555, 775, 925, 1147, 2325, 2775, 3441, 5735, 17205, 28675

Step-4: Factors of 86037

List of positive integer factors of 86037 that divides 86025 without a remainder.

1, 3, 7, 17, 21, 51, 119, 241, 357, 723, 1687, 4097, 5061, 12291, 28679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86025 and 86037. The biggest common factor number is the GCF number.
So the greatest common factor 86025 and 86037 is 3.

Also check out the Least Common Multiple of 86025 and 86037