What is the Greatest Common Factor of 80525 and 80540?

Greatest common factor (GCF) of 80525 and 80540 is 5.

GCF(80525,80540) = 5

We will now calculate the prime factors of 80525 and 80540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80525 and 80540.

How to find the GCF of 80525 and 80540?

We will first find the prime factorization of 80525 and 80540. After we will calculate the factors of 80525 and 80540 and find the biggest common factor number .

Step-1: Prime Factorization of 80525

Prime factors of 80525 are 5, 3221. Prime factorization of 80525 in exponential form is:

80525 = 5² × 3221¹

Step-2: Prime Factorization of 80540

Prime factors of 80540 are 2, 5, 4027. Prime factorization of 80540 in exponential form is:

80540 = 2² × 5¹ × 4027¹

Step-3: Factors of 80525

List of positive integer factors of 80525 that divides 80525 without a remainder.

1, 5, 25, 3221, 16105

Step-4: Factors of 80540

List of positive integer factors of 80540 that divides 80525 without a remainder.

1, 2, 4, 5, 10, 20, 4027, 8054, 16108, 20135, 40270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80525 and 80540. The biggest common factor number is the GCF number.
So the greatest common factor 80525 and 80540 is 5.

Also check out the Least Common Multiple of 80525 and 80540