What is the Greatest Common Factor of 34782 and 34797?

Greatest common factor (GCF) of 34782 and 34797 is 3.

GCF(34782,34797) = 3

We will now calculate the prime factors of 34782 and 34797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34782 and 34797.

How to find the GCF of 34782 and 34797?

We will first find the prime factorization of 34782 and 34797. After we will calculate the factors of 34782 and 34797 and find the biggest common factor number .

Step-1: Prime Factorization of 34782

Prime factors of 34782 are 2, 3, 11, 17, 31. Prime factorization of 34782 in exponential form is:

34782 = 2¹ × 3¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 34797

Prime factors of 34797 are 3, 7, 1657. Prime factorization of 34797 in exponential form is:

34797 = 3¹ × 7¹ × 1657¹

Step-3: Factors of 34782

List of positive integer factors of 34782 that divides 34782 without a remainder.

1, 2, 3, 6, 11, 17, 22, 31, 33, 34, 51, 62, 66, 93, 102, 186, 187, 341, 374, 527, 561, 682, 1023, 1054, 1122, 1581, 2046, 3162, 5797, 11594, 17391

Step-4: Factors of 34797

List of positive integer factors of 34797 that divides 34782 without a remainder.

1, 3, 7, 21, 1657, 4971, 11599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34782 and 34797. The biggest common factor number is the GCF number.
So the greatest common factor 34782 and 34797 is 3.

Also check out the Least Common Multiple of 34782 and 34797