What is the Greatest Common Factor of 69892 and 69898?

Greatest common factor (GCF) of 69892 and 69898 is 2.

GCF(69892,69898) = 2

We will now calculate the prime factors of 69892 and 69898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69892 and 69898.

How to find the GCF of 69892 and 69898?

We will first find the prime factorization of 69892 and 69898. After we will calculate the factors of 69892 and 69898 and find the biggest common factor number .

Step-1: Prime Factorization of 69892

Prime factors of 69892 are 2, 101, 173. Prime factorization of 69892 in exponential form is:

69892 = 2² × 101¹ × 173¹

Step-2: Prime Factorization of 69898

Prime factors of 69898 are 2, 34949. Prime factorization of 69898 in exponential form is:

69898 = 2¹ × 34949¹

Step-3: Factors of 69892

List of positive integer factors of 69892 that divides 69892 without a remainder.

1, 2, 4, 101, 173, 202, 346, 404, 692, 17473, 34946

Step-4: Factors of 69898

List of positive integer factors of 69898 that divides 69892 without a remainder.

1, 2, 34949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69892 and 69898. The biggest common factor number is the GCF number.
So the greatest common factor 69892 and 69898 is 2.

Also check out the Least Common Multiple of 69892 and 69898