What is the Greatest Common Factor of 82960 and 82979?

Greatest common factor (GCF) of 82960 and 82979 is 1.

GCF(82960,82979) = 1

We will now calculate the prime factors of 82960 and 82979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82960 and 82979.

How to find the GCF of 82960 and 82979?

We will first find the prime factorization of 82960 and 82979. After we will calculate the factors of 82960 and 82979 and find the biggest common factor number .

Step-1: Prime Factorization of 82960

Prime factors of 82960 are 2, 5, 17, 61. Prime factorization of 82960 in exponential form is:

82960 = 2⁴ × 5¹ × 17¹ × 61¹

Step-2: Prime Factorization of 82979

Prime factors of 82979 are 13, 491. Prime factorization of 82979 in exponential form is:

82979 = 13² × 491¹

Step-3: Factors of 82960

List of positive integer factors of 82960 that divides 82960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 61, 68, 80, 85, 122, 136, 170, 244, 272, 305, 340, 488, 610, 680, 976, 1037, 1220, 1360, 2074, 2440, 4148, 4880, 5185, 8296, 10370, 16592, 20740, 41480

Step-4: Factors of 82979

List of positive integer factors of 82979 that divides 82960 without a remainder.

1, 13, 169, 491, 6383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82960 and 82979. The biggest common factor number is the GCF number.
So the greatest common factor 82960 and 82979 is 1.

Also check out the Least Common Multiple of 82960 and 82979