What is the Greatest Common Factor of 83068 and 83072?

Greatest common factor (GCF) of 83068 and 83072 is 4.

GCF(83068,83072) = 4

We will now calculate the prime factors of 83068 and 83072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83068 and 83072.

How to find the GCF of 83068 and 83072?

We will first find the prime factorization of 83068 and 83072. After we will calculate the factors of 83068 and 83072 and find the biggest common factor number .

Step-1: Prime Factorization of 83068

Prime factors of 83068 are 2, 19, 1093. Prime factorization of 83068 in exponential form is:

83068 = 2² × 19¹ × 1093¹

Step-2: 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-3: Factors of 83068

List of positive integer factors of 83068 that divides 83068 without a remainder.

1, 2, 4, 19, 38, 76, 1093, 2186, 4372, 20767, 41534

Step-4: Factors of 83072

List of positive integer factors of 83072 that divides 83068 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83068 and 83072. The biggest common factor number is the GCF number.
So the greatest common factor 83068 and 83072 is 4.

Also check out the Least Common Multiple of 83068 and 83072