What is the Greatest Common Factor of 80690 and 80700?

Greatest common factor (GCF) of 80690 and 80700 is 10.

GCF(80690,80700) = 10

We will now calculate the prime factors of 80690 and 80700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80690 and 80700.

How to find the GCF of 80690 and 80700?

We will first find the prime factorization of 80690 and 80700. After we will calculate the factors of 80690 and 80700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80700

Prime factors of 80700 are 2, 3, 5, 269. Prime factorization of 80700 in exponential form is:

80700 = 2² × 3¹ × 5² × 269¹

Step-3: Factors of 80690

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

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

Step-4: Factors of 80700

List of positive integer factors of 80700 that divides 80690 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 269, 300, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 6725, 8070, 13450, 16140, 20175, 26900, 40350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80690 and 80700. The biggest common factor number is the GCF number.
So the greatest common factor 80690 and 80700 is 10.

Also check out the Least Common Multiple of 80690 and 80700