What is the Greatest Common Factor of 82956 and 82960?

Greatest common factor (GCF) of 82956 and 82960 is 4.

GCF(82956,82960) = 4

We will now calculate the prime factors of 82956 and 82960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82956 and 82960.

How to find the GCF of 82956 and 82960?

We will first find the prime factorization of 82956 and 82960. After we will calculate the factors of 82956 and 82960 and find the biggest common factor number .

Step-1: Prime Factorization of 82956

Prime factors of 82956 are 2, 3, 31, 223. Prime factorization of 82956 in exponential form is:

82956 = 2² × 3¹ × 31¹ × 223¹

Step-2: 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-3: Factors of 82956

List of positive integer factors of 82956 that divides 82956 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 223, 372, 446, 669, 892, 1338, 2676, 6913, 13826, 20739, 27652, 41478

Step-4: Factors of 82960

List of positive integer factors of 82960 that divides 82956 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82956 and 82960. The biggest common factor number is the GCF number.
So the greatest common factor 82956 and 82960 is 4.

Also check out the Least Common Multiple of 82956 and 82960