What is the Greatest Common Factor of 63552 and 63567?

Greatest common factor (GCF) of 63552 and 63567 is 3.

GCF(63552,63567) = 3

We will now calculate the prime factors of 63552 and 63567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63552 and 63567.

How to find the GCF of 63552 and 63567?

We will first find the prime factorization of 63552 and 63567. After we will calculate the factors of 63552 and 63567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63567

Prime factors of 63567 are 3, 7, 1009. Prime factorization of 63567 in exponential form is:

63567 = 3² × 7¹ × 1009¹

Step-3: Factors of 63552

List of positive integer factors of 63552 that divides 63552 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

Step-4: Factors of 63567

List of positive integer factors of 63567 that divides 63552 without a remainder.

1, 3, 7, 9, 21, 63, 1009, 3027, 7063, 9081, 21189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63552 and 63567. The biggest common factor number is the GCF number.
So the greatest common factor 63552 and 63567 is 3.

Also check out the Least Common Multiple of 63552 and 63567