What is the Greatest Common Factor of 43692 and 43703?

Greatest common factor (GCF) of 43692 and 43703 is 11.

GCF(43692,43703) = 11

We will now calculate the prime factors of 43692 and 43703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43692 and 43703.

How to find the GCF of 43692 and 43703?

We will first find the prime factorization of 43692 and 43703. After we will calculate the factors of 43692 and 43703 and find the biggest common factor number .

Step-1: Prime Factorization of 43692

Prime factors of 43692 are 2, 3, 11, 331. Prime factorization of 43692 in exponential form is:

43692 = 2² × 3¹ × 11¹ × 331¹

Step-2: Prime Factorization of 43703

Prime factors of 43703 are 11, 29, 137. Prime factorization of 43703 in exponential form is:

43703 = 11¹ × 29¹ × 137¹

Step-3: Factors of 43692

List of positive integer factors of 43692 that divides 43692 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 331, 662, 993, 1324, 1986, 3641, 3972, 7282, 10923, 14564, 21846

Step-4: Factors of 43703

List of positive integer factors of 43703 that divides 43692 without a remainder.

1, 11, 29, 137, 319, 1507, 3973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43692 and 43703. The biggest common factor number is the GCF number.
So the greatest common factor 43692 and 43703 is 11.

Also check out the Least Common Multiple of 43692 and 43703