What is the Greatest Common Factor of 82960 and 82969?

Greatest common factor (GCF) of 82960 and 82969 is 1.

GCF(82960,82969) = 1

We will now calculate the prime factors of 82960 and 82969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82960 and 82969.

How to find the GCF of 82960 and 82969?

We will first find the prime factorization of 82960 and 82969. After we will calculate the factors of 82960 and 82969 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 82969

Prime factors of 82969 are 29, 2861. Prime factorization of 82969 in exponential form is:

82969 = 29¹ × 2861¹

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 82969

List of positive integer factors of 82969 that divides 82960 without a remainder.

1, 29, 2861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82960 and 82969. The biggest common factor number is the GCF number.
So the greatest common factor 82960 and 82969 is 1.

Also check out the Least Common Multiple of 82960 and 82969