What is the Greatest Common Factor of 80670 and 80690?

Greatest common factor (GCF) of 80670 and 80690 is 10.

GCF(80670,80690) = 10

We will now calculate the prime factors of 80670 and 80690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80670 and 80690.

How to find the GCF of 80670 and 80690?

We will first find the prime factorization of 80670 and 80690. After we will calculate the factors of 80670 and 80690 and find the biggest common factor number .

Step-1: Prime Factorization of 80670

Prime factors of 80670 are 2, 3, 5, 2689. Prime factorization of 80670 in exponential form is:

80670 = 2¹ × 3¹ × 5¹ × 2689¹

Step-2: Prime Factorization of 80690

Prime factors of 80690 are 2, 5, 8069. Prime factorization of 80690 in exponential form is:

80690 = 2¹ × 5¹ × 8069¹

Step-3: Factors of 80670

List of positive integer factors of 80670 that divides 80670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2689, 5378, 8067, 13445, 16134, 26890, 40335

Step-4: Factors of 80690

List of positive integer factors of 80690 that divides 80670 without a remainder.

1, 2, 5, 10, 8069, 16138, 40345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80670 and 80690. The biggest common factor number is the GCF number.
So the greatest common factor 80670 and 80690 is 10.

Also check out the Least Common Multiple of 80670 and 80690