What is the Greatest Common Factor of 39552 and 39564?

Greatest common factor (GCF) of 39552 and 39564 is 12.

GCF(39552,39564) = 12

We will now calculate the prime factors of 39552 and 39564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39552 and 39564.

How to find the GCF of 39552 and 39564?

We will first find the prime factorization of 39552 and 39564. After we will calculate the factors of 39552 and 39564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39564

Prime factors of 39564 are 2, 3, 7, 157. Prime factorization of 39564 in exponential form is:

39564 = 2² × 3² × 7¹ × 157¹

Step-3: Factors of 39552

List of positive integer factors of 39552 that divides 39552 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

Step-4: Factors of 39564

List of positive integer factors of 39564 that divides 39552 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 157, 252, 314, 471, 628, 942, 1099, 1413, 1884, 2198, 2826, 3297, 4396, 5652, 6594, 9891, 13188, 19782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39552 and 39564. The biggest common factor number is the GCF number.
So the greatest common factor 39552 and 39564 is 12.

Also check out the Least Common Multiple of 39552 and 39564