What is the Greatest Common Factor of 39546 and 39552?

Greatest common factor (GCF) of 39546 and 39552 is 6.

GCF(39546,39552) = 6

We will now calculate the prime factors of 39546 and 39552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39546 and 39552.

How to find the GCF of 39546 and 39552?

We will first find the prime factorization of 39546 and 39552. After we will calculate the factors of 39546 and 39552 and find the biggest common factor number .

Step-1: Prime Factorization of 39546

Prime factors of 39546 are 2, 3, 13. Prime factorization of 39546 in exponential form is:

39546 = 2¹ × 3² × 13³

Step-2: Prime Factorization of 39552

Prime factors of 39552 are 2, 3, 103. Prime factorization of 39552 in exponential form is:

39552 = 2⁷ × 3¹ × 103¹

Step-3: Factors of 39546

List of positive integer factors of 39546 that divides 39546 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 2197, 3042, 4394, 6591, 13182, 19773

Step-4: Factors of 39552

List of positive integer factors of 39552 that divides 39546 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 103, 128, 192, 206, 309, 384, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 6592, 9888, 13184, 19776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39546 and 39552. The biggest common factor number is the GCF number.
So the greatest common factor 39546 and 39552 is 6.

Also check out the Least Common Multiple of 39546 and 39552