What is the Greatest Common Factor of 69838 and 69852?

Greatest common factor (GCF) of 69838 and 69852 is 2.

GCF(69838,69852) = 2

We will now calculate the prime factors of 69838 and 69852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69838 and 69852.

How to find the GCF of 69838 and 69852?

We will first find the prime factorization of 69838 and 69852. After we will calculate the factors of 69838 and 69852 and find the biggest common factor number .

Step-1: Prime Factorization of 69838

Prime factors of 69838 are 2, 34919. Prime factorization of 69838 in exponential form is:

69838 = 2¹ × 34919¹

Step-2: Prime Factorization of 69852

Prime factors of 69852 are 2, 3, 5821. Prime factorization of 69852 in exponential form is:

69852 = 2² × 3¹ × 5821¹

Step-3: Factors of 69838

List of positive integer factors of 69838 that divides 69838 without a remainder.

1, 2, 34919

Step-4: Factors of 69852

List of positive integer factors of 69852 that divides 69838 without a remainder.

1, 2, 3, 4, 6, 12, 5821, 11642, 17463, 23284, 34926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69838 and 69852. The biggest common factor number is the GCF number.
So the greatest common factor 69838 and 69852 is 2.

Also check out the Least Common Multiple of 69838 and 69852