What is the Greatest Common Factor of 80625 and 80630?

Greatest common factor (GCF) of 80625 and 80630 is 5.

GCF(80625,80630) = 5

We will now calculate the prime factors of 80625 and 80630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80625 and 80630.

How to find the GCF of 80625 and 80630?

We will first find the prime factorization of 80625 and 80630. After we will calculate the factors of 80625 and 80630 and find the biggest common factor number .

Step-1: Prime Factorization of 80625

Prime factors of 80625 are 3, 5, 43. Prime factorization of 80625 in exponential form is:

80625 = 3¹ × 5⁴ × 43¹

Step-2: Prime Factorization of 80630

Prime factors of 80630 are 2, 5, 11, 733. Prime factorization of 80630 in exponential form is:

80630 = 2¹ × 5¹ × 11¹ × 733¹

Step-3: Factors of 80625

List of positive integer factors of 80625 that divides 80625 without a remainder.

1, 3, 5, 15, 25, 43, 75, 125, 129, 215, 375, 625, 645, 1075, 1875, 3225, 5375, 16125, 26875

Step-4: Factors of 80630

List of positive integer factors of 80630 that divides 80625 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 733, 1466, 3665, 7330, 8063, 16126, 40315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80625 and 80630. The biggest common factor number is the GCF number.
So the greatest common factor 80625 and 80630 is 5.

Also check out the Least Common Multiple of 80625 and 80630