What is the Greatest Common Factor of 80710 and 80725?

Greatest common factor (GCF) of 80710 and 80725 is 5.

GCF(80710,80725) = 5

We will now calculate the prime factors of 80710 and 80725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80710 and 80725.

How to find the GCF of 80710 and 80725?

We will first find the prime factorization of 80710 and 80725. After we will calculate the factors of 80710 and 80725 and find the biggest common factor number .

Step-1: Prime Factorization of 80710

Prime factors of 80710 are 2, 5, 7, 1153. Prime factorization of 80710 in exponential form is:

80710 = 2¹ × 5¹ × 7¹ × 1153¹

Step-2: Prime Factorization of 80725

Prime factors of 80725 are 5, 3229. Prime factorization of 80725 in exponential form is:

80725 = 5² × 3229¹

Step-3: Factors of 80710

List of positive integer factors of 80710 that divides 80710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1153, 2306, 5765, 8071, 11530, 16142, 40355

Step-4: Factors of 80725

List of positive integer factors of 80725 that divides 80710 without a remainder.

1, 5, 25, 3229, 16145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80710 and 80725. The biggest common factor number is the GCF number.
So the greatest common factor 80710 and 80725 is 5.

Also check out the Least Common Multiple of 80710 and 80725