What is the Greatest Common Factor of 69914 and 69932?

Greatest common factor (GCF) of 69914 and 69932 is 2.

GCF(69914,69932) = 2

We will now calculate the prime factors of 69914 and 69932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69914 and 69932.

How to find the GCF of 69914 and 69932?

We will first find the prime factorization of 69914 and 69932. After we will calculate the factors of 69914 and 69932 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 69932

Prime factors of 69932 are 2, 17483. Prime factorization of 69932 in exponential form is:

69932 = 2² × 17483¹

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 69932

List of positive integer factors of 69932 that divides 69914 without a remainder.

1, 2, 4, 17483, 34966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69914 and 69932. The biggest common factor number is the GCF number.
So the greatest common factor 69914 and 69932 is 2.

Also check out the Least Common Multiple of 69914 and 69932