What is the Greatest Common Factor of 32040 and 32049?

Greatest common factor (GCF) of 32040 and 32049 is 9.

GCF(32040,32049) = 9

We will now calculate the prime factors of 32040 and 32049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32040 and 32049.

How to find the GCF of 32040 and 32049?

We will first find the prime factorization of 32040 and 32049. After we will calculate the factors of 32040 and 32049 and find the biggest common factor number .

Step-1: Prime Factorization of 32040

Prime factors of 32040 are 2, 3, 5, 89. Prime factorization of 32040 in exponential form is:

32040 = 2³ × 3² × 5¹ × 89¹

Step-2: Prime Factorization of 32049

Prime factors of 32049 are 3, 1187. Prime factorization of 32049 in exponential form is:

32049 = 3³ × 1187¹

Step-3: Factors of 32040

List of positive integer factors of 32040 that divides 32040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020

Step-4: Factors of 32049

List of positive integer factors of 32049 that divides 32040 without a remainder.

1, 3, 9, 27, 1187, 3561, 10683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32040 and 32049. The biggest common factor number is the GCF number.
So the greatest common factor 32040 and 32049 is 9.

Also check out the Least Common Multiple of 32040 and 32049