What is the Greatest Common Factor of 83712 and 83732?

Greatest common factor (GCF) of 83712 and 83732 is 4.

GCF(83712,83732) = 4

We will now calculate the prime factors of 83712 and 83732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83732.

How to find the GCF of 83712 and 83732?

We will first find the prime factorization of 83712 and 83732. After we will calculate the factors of 83712 and 83732 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83732

Prime factors of 83732 are 2, 11, 173. Prime factorization of 83732 in exponential form is:

83732 = 2² × 11² × 173¹

Step-3: Factors of 83712

List of positive integer factors of 83712 that divides 83712 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

Step-4: Factors of 83732

List of positive integer factors of 83732 that divides 83712 without a remainder.

1, 2, 4, 11, 22, 44, 121, 173, 242, 346, 484, 692, 1903, 3806, 7612, 20933, 41866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83712 and 83732. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83732 is 4.

Also check out the Least Common Multiple of 83712 and 83732