What is the Greatest Common Factor of 34825 and 34832?

Greatest common factor (GCF) of 34825 and 34832 is 7.

GCF(34825,34832) = 7

We will now calculate the prime factors of 34825 and 34832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34825 and 34832.

How to find the GCF of 34825 and 34832?

We will first find the prime factorization of 34825 and 34832. After we will calculate the factors of 34825 and 34832 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 34832

Prime factors of 34832 are 2, 7, 311. Prime factorization of 34832 in exponential form is:

34832 = 2⁴ × 7¹ × 311¹

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 34832

List of positive integer factors of 34832 that divides 34825 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 311, 622, 1244, 2177, 2488, 4354, 4976, 8708, 17416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34825 and 34832. The biggest common factor number is the GCF number.
So the greatest common factor 34825 and 34832 is 7.

Also check out the Least Common Multiple of 34825 and 34832