What is the Greatest Common Factor of 34825 and 34842?

Greatest common factor (GCF) of 34825 and 34842 is 1.

GCF(34825,34842) = 1

We will now calculate the prime factors of 34825 and 34842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34825 and 34842.

How to find the GCF of 34825 and 34842?

We will first find the prime factorization of 34825 and 34842. After we will calculate the factors of 34825 and 34842 and find the biggest common factor number .

Step-1: Prime Factorization of 34825

Prime factors of 34825 are 5, 7, 199. Prime factorization of 34825 in exponential form is:

34825 = 5² × 7¹ × 199¹

Step-2: Prime Factorization of 34842

Prime factors of 34842 are 2, 3, 5807. Prime factorization of 34842 in exponential form is:

34842 = 2¹ × 3¹ × 5807¹

Step-3: Factors of 34825

List of positive integer factors of 34825 that divides 34825 without a remainder.

1, 5, 7, 25, 35, 175, 199, 995, 1393, 4975, 6965

Step-4: Factors of 34842

List of positive integer factors of 34842 that divides 34825 without a remainder.

1, 2, 3, 6, 5807, 11614, 17421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34825 and 34842. The biggest common factor number is the GCF number.
So the greatest common factor 34825 and 34842 is 1.

Also check out the Least Common Multiple of 34825 and 34842