What is the Greatest Common Factor of 80814 and 80827?

Greatest common factor (GCF) of 80814 and 80827 is 1.

GCF(80814,80827) = 1

We will now calculate the prime factors of 80814 and 80827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80814 and 80827.

How to find the GCF of 80814 and 80827?

We will first find the prime factorization of 80814 and 80827. After we will calculate the factors of 80814 and 80827 and find the biggest common factor number .

Step-1: Prime Factorization of 80814

Prime factors of 80814 are 2, 3, 13469. Prime factorization of 80814 in exponential form is:

80814 = 2¹ × 3¹ × 13469¹

Step-2: Prime Factorization of 80827

Prime factors of 80827 are 131, 617. Prime factorization of 80827 in exponential form is:

80827 = 131¹ × 617¹

Step-3: Factors of 80814

List of positive integer factors of 80814 that divides 80814 without a remainder.

1, 2, 3, 6, 13469, 26938, 40407

Step-4: Factors of 80827

List of positive integer factors of 80827 that divides 80814 without a remainder.

1, 131, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80814 and 80827. The biggest common factor number is the GCF number.
So the greatest common factor 80814 and 80827 is 1.

Also check out the Least Common Multiple of 80814 and 80827