What is the Greatest Common Factor of 80025 and 80037?

Greatest common factor (GCF) of 80025 and 80037 is 3.

GCF(80025,80037) = 3

We will now calculate the prime factors of 80025 and 80037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80025 and 80037.

How to find the GCF of 80025 and 80037?

We will first find the prime factorization of 80025 and 80037. After we will calculate the factors of 80025 and 80037 and find the biggest common factor number .

Step-1: Prime Factorization of 80025

Prime factors of 80025 are 3, 5, 11, 97. Prime factorization of 80025 in exponential form is:

80025 = 3¹ × 5² × 11¹ × 97¹

Step-2: Prime Factorization of 80037

Prime factors of 80037 are 3, 8893. Prime factorization of 80037 in exponential form is:

80037 = 3² × 8893¹

Step-3: Factors of 80025

List of positive integer factors of 80025 that divides 80025 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 97, 165, 275, 291, 485, 825, 1067, 1455, 2425, 3201, 5335, 7275, 16005, 26675

Step-4: Factors of 80037

List of positive integer factors of 80037 that divides 80025 without a remainder.

1, 3, 9, 8893, 26679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80025 and 80037. The biggest common factor number is the GCF number.
So the greatest common factor 80025 and 80037 is 3.

Also check out the Least Common Multiple of 80025 and 80037