What is the Greatest Common Factor of 69896 and 69910?

Greatest common factor (GCF) of 69896 and 69910 is 2.

GCF(69896,69910) = 2

We will now calculate the prime factors of 69896 and 69910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69896 and 69910.

How to find the GCF of 69896 and 69910?

We will first find the prime factorization of 69896 and 69910. After we will calculate the factors of 69896 and 69910 and find the biggest common factor number .

Step-1: Prime Factorization of 69896

Prime factors of 69896 are 2, 8737. Prime factorization of 69896 in exponential form is:

69896 = 2³ × 8737¹

Step-2: Prime Factorization of 69910

Prime factors of 69910 are 2, 5, 6991. Prime factorization of 69910 in exponential form is:

69910 = 2¹ × 5¹ × 6991¹

Step-3: Factors of 69896

List of positive integer factors of 69896 that divides 69896 without a remainder.

1, 2, 4, 8, 8737, 17474, 34948

Step-4: Factors of 69910

List of positive integer factors of 69910 that divides 69896 without a remainder.

1, 2, 5, 10, 6991, 13982, 34955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69896 and 69910. The biggest common factor number is the GCF number.
So the greatest common factor 69896 and 69910 is 2.

Also check out the Least Common Multiple of 69896 and 69910