What is the Greatest Common Factor of 83706 and 83712?

Greatest common factor (GCF) of 83706 and 83712 is 6.

GCF(83706,83712) = 6

We will now calculate the prime factors of 83706 and 83712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83706 and 83712.

How to find the GCF of 83706 and 83712?

We will first find the prime factorization of 83706 and 83712. After we will calculate the factors of 83706 and 83712 and find the biggest common factor number .

Step-1: Prime Factorization of 83706

Prime factors of 83706 are 2, 3, 7, 1993. Prime factorization of 83706 in exponential form is:

83706 = 2¹ × 3¹ × 7¹ × 1993¹

Step-2: Prime Factorization of 83712

Prime factors of 83712 are 2, 3, 109. Prime factorization of 83712 in exponential form is:

83712 = 2⁸ × 3¹ × 109¹

Step-3: Factors of 83706

List of positive integer factors of 83706 that divides 83706 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1993, 3986, 5979, 11958, 13951, 27902, 41853

Step-4: Factors of 83712

List of positive integer factors of 83712 that divides 83706 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 128, 192, 218, 256, 327, 384, 436, 654, 768, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464, 13952, 20928, 27904, 41856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83706 and 83712. The biggest common factor number is the GCF number.
So the greatest common factor 83706 and 83712 is 6.

Also check out the Least Common Multiple of 83706 and 83712