What is the Greatest Common Factor of 63540 and 63552?

Greatest common factor (GCF) of 63540 and 63552 is 12.

GCF(63540,63552) = 12

We will now calculate the prime factors of 63540 and 63552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63540 and 63552.

How to find the GCF of 63540 and 63552?

We will first find the prime factorization of 63540 and 63552. After we will calculate the factors of 63540 and 63552 and find the biggest common factor number .

Step-1: Prime Factorization of 63540

Prime factors of 63540 are 2, 3, 5, 353. Prime factorization of 63540 in exponential form is:

63540 = 2² × 3² × 5¹ × 353¹

Step-2: Prime Factorization of 63552

Prime factors of 63552 are 2, 3, 331. Prime factorization of 63552 in exponential form is:

63552 = 2⁶ × 3¹ × 331¹

Step-3: Factors of 63540

List of positive integer factors of 63540 that divides 63540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 353, 706, 1059, 1412, 1765, 2118, 3177, 3530, 4236, 5295, 6354, 7060, 10590, 12708, 15885, 21180, 31770

Step-4: Factors of 63552

List of positive integer factors of 63552 that divides 63540 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 331, 662, 993, 1324, 1986, 2648, 3972, 5296, 7944, 10592, 15888, 21184, 31776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63540 and 63552. The biggest common factor number is the GCF number.
So the greatest common factor 63540 and 63552 is 12.

Also check out the Least Common Multiple of 63540 and 63552