What is the Greatest Common Factor of 69832 and 69838?

Greatest common factor (GCF) of 69832 and 69838 is 2.

GCF(69832,69838) = 2

We will now calculate the prime factors of 69832 and 69838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69832 and 69838.

How to find the GCF of 69832 and 69838?

We will first find the prime factorization of 69832 and 69838. After we will calculate the factors of 69832 and 69838 and find the biggest common factor number .

Step-1: Prime Factorization of 69832

Prime factors of 69832 are 2, 7, 29, 43. Prime factorization of 69832 in exponential form is:

69832 = 2³ × 7¹ × 29¹ × 43¹

Step-2: Prime Factorization of 69838

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

69838 = 2¹ × 34919¹

Step-3: Factors of 69832

List of positive integer factors of 69832 that divides 69832 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 43, 56, 58, 86, 116, 172, 203, 232, 301, 344, 406, 602, 812, 1204, 1247, 1624, 2408, 2494, 4988, 8729, 9976, 17458, 34916

Step-4: Factors of 69838

List of positive integer factors of 69838 that divides 69832 without a remainder.

1, 2, 34919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69832 and 69838. The biggest common factor number is the GCF number.
So the greatest common factor 69832 and 69838 is 2.

Also check out the Least Common Multiple of 69832 and 69838