What is the Greatest Common Factor of 83072 and 83082?

Greatest common factor (GCF) of 83072 and 83082 is 2.

GCF(83072,83082) = 2

We will now calculate the prime factors of 83072 and 83082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83072 and 83082.

How to find the GCF of 83072 and 83082?

We will first find the prime factorization of 83072 and 83082. After we will calculate the factors of 83072 and 83082 and find the biggest common factor number .

Step-1: Prime Factorization of 83072

Prime factors of 83072 are 2, 11, 59. Prime factorization of 83072 in exponential form is:

83072 = 2⁷ × 11¹ × 59¹

Step-2: Prime Factorization of 83082

Prime factors of 83082 are 2, 3, 61, 227. Prime factorization of 83082 in exponential form is:

83082 = 2¹ × 3¹ × 61¹ × 227¹

Step-3: Factors of 83072

List of positive integer factors of 83072 that divides 83072 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 64, 88, 118, 128, 176, 236, 352, 472, 649, 704, 944, 1298, 1408, 1888, 2596, 3776, 5192, 7552, 10384, 20768, 41536

Step-4: Factors of 83082

List of positive integer factors of 83082 that divides 83072 without a remainder.

1, 2, 3, 6, 61, 122, 183, 227, 366, 454, 681, 1362, 13847, 27694, 41541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83072 and 83082. The biggest common factor number is the GCF number.
So the greatest common factor 83072 and 83082 is 2.

Also check out the Least Common Multiple of 83072 and 83082