What is the Greatest Common Factor of 69814 and 69829?

Greatest common factor (GCF) of 69814 and 69829 is 1.

GCF(69814,69829) = 1

We will now calculate the prime factors of 69814 and 69829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69814 and 69829.

How to find the GCF of 69814 and 69829?

We will first find the prime factorization of 69814 and 69829. After we will calculate the factors of 69814 and 69829 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 69829

Prime factors of 69829 are 69829. Prime factorization of 69829 in exponential form is:

69829 = 69829¹

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 69829

List of positive integer factors of 69829 that divides 69814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69814 and 69829. The biggest common factor number is the GCF number.
So the greatest common factor 69814 and 69829 is 1.

Also check out the Least Common Multiple of 69814 and 69829