What is the Greatest Common Factor of 75832 and 75838?

Greatest common factor (GCF) of 75832 and 75838 is 2.

GCF(75832,75838) = 2

We will now calculate the prime factors of 75832 and 75838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75832 and 75838.

How to find the GCF of 75832 and 75838?

We will first find the prime factorization of 75832 and 75838. After we will calculate the factors of 75832 and 75838 and find the biggest common factor number .

Step-1: Prime Factorization of 75832

Prime factors of 75832 are 2, 9479. Prime factorization of 75832 in exponential form is:

75832 = 2³ × 9479¹

Step-2: Prime Factorization of 75838

Prime factors of 75838 are 2, 7, 5417. Prime factorization of 75838 in exponential form is:

75838 = 2¹ × 7¹ × 5417¹

Step-3: Factors of 75832

List of positive integer factors of 75832 that divides 75832 without a remainder.

1, 2, 4, 8, 9479, 18958, 37916

Step-4: Factors of 75838

List of positive integer factors of 75838 that divides 75832 without a remainder.

1, 2, 7, 14, 5417, 10834, 37919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75832 and 75838. The biggest common factor number is the GCF number.
So the greatest common factor 75832 and 75838 is 2.

Also check out the Least Common Multiple of 75832 and 75838