What is the Greatest Common Factor of 69814 and 69822?

Greatest common factor (GCF) of 69814 and 69822 is 2.

GCF(69814,69822) = 2

We will now calculate the prime factors of 69814 and 69822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69814 and 69822.

How to find the GCF of 69814 and 69822?

We will first find the prime factorization of 69814 and 69822. After we will calculate the factors of 69814 and 69822 and find the biggest common factor number .

Step-1: Prime Factorization of 69814

Prime factors of 69814 are 2, 67, 521. Prime factorization of 69814 in exponential form is:

69814 = 2¹ × 67¹ × 521¹

Step-2: Prime Factorization of 69822

Prime factors of 69822 are 2, 3, 431. Prime factorization of 69822 in exponential form is:

69822 = 2¹ × 3⁴ × 431¹

Step-3: Factors of 69814

List of positive integer factors of 69814 that divides 69814 without a remainder.

1, 2, 67, 134, 521, 1042, 34907

Step-4: Factors of 69822

List of positive integer factors of 69822 that divides 69814 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 431, 862, 1293, 2586, 3879, 7758, 11637, 23274, 34911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69814 and 69822. The biggest common factor number is the GCF number.
So the greatest common factor 69814 and 69822 is 2.

Also check out the Least Common Multiple of 69814 and 69822