What is the Greatest Common Factor of 82956 and 82961?

Greatest common factor (GCF) of 82956 and 82961 is 1.

GCF(82956,82961) = 1

We will now calculate the prime factors of 82956 and 82961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82956 and 82961.

How to find the GCF of 82956 and 82961?

We will first find the prime factorization of 82956 and 82961. After we will calculate the factors of 82956 and 82961 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 82961

Prime factors of 82961 are 23, 3607. Prime factorization of 82961 in exponential form is:

82961 = 23¹ × 3607¹

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 82961

List of positive integer factors of 82961 that divides 82956 without a remainder.

1, 23, 3607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82956 and 82961. The biggest common factor number is the GCF number.
So the greatest common factor 82956 and 82961 is 1.

Also check out the Least Common Multiple of 82956 and 82961