What is the Greatest Common Factor of 82953 and 82958?

Greatest common factor (GCF) of 82953 and 82958 is 1.

GCF(82953,82958) = 1

We will now calculate the prime factors of 82953 and 82958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82953 and 82958.

How to find the GCF of 82953 and 82958?

We will first find the prime factorization of 82953 and 82958. After we will calculate the factors of 82953 and 82958 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 82958

Prime factors of 82958 are 2, 41479. Prime factorization of 82958 in exponential form is:

82958 = 2¹ × 41479¹

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 82958

List of positive integer factors of 82958 that divides 82953 without a remainder.

1, 2, 41479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82953 and 82958. The biggest common factor number is the GCF number.
So the greatest common factor 82953 and 82958 is 1.

Also check out the Least Common Multiple of 82953 and 82958