What is the Greatest Common Factor of 34882 and 34890?

Greatest common factor (GCF) of 34882 and 34890 is 2.

GCF(34882,34890) = 2

We will now calculate the prime factors of 34882 and 34890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34882 and 34890.

How to find the GCF of 34882 and 34890?

We will first find the prime factorization of 34882 and 34890. After we will calculate the factors of 34882 and 34890 and find the biggest common factor number .

Step-1: Prime Factorization of 34882

Prime factors of 34882 are 2, 107, 163. Prime factorization of 34882 in exponential form is:

34882 = 2¹ × 107¹ × 163¹

Step-2: Prime Factorization of 34890

Prime factors of 34890 are 2, 3, 5, 1163. Prime factorization of 34890 in exponential form is:

34890 = 2¹ × 3¹ × 5¹ × 1163¹

Step-3: Factors of 34882

List of positive integer factors of 34882 that divides 34882 without a remainder.

1, 2, 107, 163, 214, 326, 17441

Step-4: Factors of 34890

List of positive integer factors of 34890 that divides 34882 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1163, 2326, 3489, 5815, 6978, 11630, 17445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34882 and 34890. The biggest common factor number is the GCF number.
So the greatest common factor 34882 and 34890 is 2.

Also check out the Least Common Multiple of 34882 and 34890