What is the Greatest Common Factor of 80025 and 80045?

Greatest common factor (GCF) of 80025 and 80045 is 5.

GCF(80025,80045) = 5

We will now calculate the prime factors of 80025 and 80045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80025 and 80045.

How to find the GCF of 80025 and 80045?

We will first find the prime factorization of 80025 and 80045. After we will calculate the factors of 80025 and 80045 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 80045

Prime factors of 80045 are 5, 7, 2287. Prime factorization of 80045 in exponential form is:

80045 = 5¹ × 7¹ × 2287¹

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 80045

List of positive integer factors of 80045 that divides 80025 without a remainder.

1, 5, 7, 35, 2287, 11435, 16009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80025 and 80045. The biggest common factor number is the GCF number.
So the greatest common factor 80025 and 80045 is 5.

Also check out the Least Common Multiple of 80025 and 80045