What is the Greatest Common Factor of 82960 and 82974?

Greatest common factor (GCF) of 82960 and 82974 is 2.

GCF(82960,82974) = 2

We will now calculate the prime factors of 82960 and 82974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82960 and 82974.

How to find the GCF of 82960 and 82974?

We will first find the prime factorization of 82960 and 82974. After we will calculate the factors of 82960 and 82974 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 82974

Prime factors of 82974 are 2, 3, 13829. Prime factorization of 82974 in exponential form is:

82974 = 2¹ × 3¹ × 13829¹

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 82974

List of positive integer factors of 82974 that divides 82960 without a remainder.

1, 2, 3, 6, 13829, 27658, 41487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82960 and 82974. The biggest common factor number is the GCF number.
So the greatest common factor 82960 and 82974 is 2.

Also check out the Least Common Multiple of 82960 and 82974