What is the Greatest Common Factor of 83072 and 83084?

Greatest common factor (GCF) of 83072 and 83084 is 4.

GCF(83072,83084) = 4

We will now calculate the prime factors of 83072 and 83084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83072 and 83084.

How to find the GCF of 83072 and 83084?

We will first find the prime factorization of 83072 and 83084. After we will calculate the factors of 83072 and 83084 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 83084

Prime factors of 83084 are 2, 20771. Prime factorization of 83084 in exponential form is:

83084 = 2² × 20771¹

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 83084

List of positive integer factors of 83084 that divides 83072 without a remainder.

1, 2, 4, 20771, 41542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83072 and 83084. The biggest common factor number is the GCF number.
So the greatest common factor 83072 and 83084 is 4.

Also check out the Least Common Multiple of 83072 and 83084