What is the Greatest Common Factor of 82953 and 82962?

Greatest common factor (GCF) of 82953 and 82962 is 9.

GCF(82953,82962) = 9

We will now calculate the prime factors of 82953 and 82962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82953 and 82962.

How to find the GCF of 82953 and 82962?

We will first find the prime factorization of 82953 and 82962. After we will calculate the factors of 82953 and 82962 and find the biggest common factor number .

Step-1: Prime Factorization of 82953

Prime factors of 82953 are 3, 13, 709. Prime factorization of 82953 in exponential form is:

82953 = 3² × 13¹ × 709¹

Step-2: Prime Factorization of 82962

Prime factors of 82962 are 2, 3, 11, 419. Prime factorization of 82962 in exponential form is:

82962 = 2¹ × 3² × 11¹ × 419¹

Step-3: Factors of 82953

List of positive integer factors of 82953 that divides 82953 without a remainder.

1, 3, 9, 13, 39, 117, 709, 2127, 6381, 9217, 27651

Step-4: Factors of 82962

List of positive integer factors of 82962 that divides 82953 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 419, 838, 1257, 2514, 3771, 4609, 7542, 9218, 13827, 27654, 41481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82953 and 82962. The biggest common factor number is the GCF number.
So the greatest common factor 82953 and 82962 is 9.

Also check out the Least Common Multiple of 82953 and 82962