What is the Greatest Common Factor of 63552 and 63568?

Greatest common factor (GCF) of 63552 and 63568 is 16.

GCF(63552,63568) = 16

We will now calculate the prime factors of 63552 and 63568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63552 and 63568.

How to find the GCF of 63552 and 63568?

We will first find the prime factorization of 63552 and 63568. After we will calculate the factors of 63552 and 63568 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 63568

Prime factors of 63568 are 2, 29, 137. Prime factorization of 63568 in exponential form is:

63568 = 2⁴ × 29¹ × 137¹

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 63568

List of positive integer factors of 63568 that divides 63552 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 137, 232, 274, 464, 548, 1096, 2192, 3973, 7946, 15892, 31784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63552 and 63568. The biggest common factor number is the GCF number.
So the greatest common factor 63552 and 63568 is 16.

Also check out the Least Common Multiple of 63552 and 63568