What is the Greatest Common Factor of 83721 and 83732?

Greatest common factor (GCF) of 83721 and 83732 is 11.

GCF(83721,83732) = 11

We will now calculate the prime factors of 83721 and 83732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83721 and 83732.

How to find the GCF of 83721 and 83732?

We will first find the prime factorization of 83721 and 83732. After we will calculate the factors of 83721 and 83732 and find the biggest common factor number .

Step-1: Prime Factorization of 83721

Prime factors of 83721 are 3, 11, 43, 59. Prime factorization of 83721 in exponential form is:

83721 = 3¹ × 11¹ × 43¹ × 59¹

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 83721

List of positive integer factors of 83721 that divides 83721 without a remainder.

1, 3, 11, 33, 43, 59, 129, 177, 473, 649, 1419, 1947, 2537, 7611, 27907

Step-4: Factors of 83732

List of positive integer factors of 83732 that divides 83721 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 83721 and 83732. The biggest common factor number is the GCF number.
So the greatest common factor 83721 and 83732 is 11.

Also check out the Least Common Multiple of 83721 and 83732