What is the Greatest Common Factor of 69914 and 69918?

Greatest common factor (GCF) of 69914 and 69918 is 2.

GCF(69914,69918) = 2

We will now calculate the prime factors of 69914 and 69918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69914 and 69918.

How to find the GCF of 69914 and 69918?

We will first find the prime factorization of 69914 and 69918. After we will calculate the factors of 69914 and 69918 and find the biggest common factor number .

Step-1: Prime Factorization of 69914

Prime factors of 69914 are 2, 13, 2689. Prime factorization of 69914 in exponential form is:

69914 = 2¹ × 13¹ × 2689¹

Step-2: Prime Factorization of 69918

Prime factors of 69918 are 2, 3, 43, 271. Prime factorization of 69918 in exponential form is:

69918 = 2¹ × 3¹ × 43¹ × 271¹

Step-3: Factors of 69914

List of positive integer factors of 69914 that divides 69914 without a remainder.

1, 2, 13, 26, 2689, 5378, 34957

Step-4: Factors of 69918

List of positive integer factors of 69918 that divides 69914 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 271, 542, 813, 1626, 11653, 23306, 34959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69914 and 69918. The biggest common factor number is the GCF number.
So the greatest common factor 69914 and 69918 is 2.

Also check out the Least Common Multiple of 69914 and 69918