What is the Greatest Common Factor of 63552 and 63572?

Greatest common factor (GCF) of 63552 and 63572 is 4.

GCF(63552,63572) = 4

We will now calculate the prime factors of 63552 and 63572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63552 and 63572.

How to find the GCF of 63552 and 63572?

We will first find the prime factorization of 63552 and 63572. After we will calculate the factors of 63552 and 63572 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 63572

Prime factors of 63572 are 2, 23, 691. Prime factorization of 63572 in exponential form is:

63572 = 2² × 23¹ × 691¹

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 63572

List of positive integer factors of 63572 that divides 63552 without a remainder.

1, 2, 4, 23, 46, 92, 691, 1382, 2764, 15893, 31786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63552 and 63572. The biggest common factor number is the GCF number.
So the greatest common factor 63552 and 63572 is 4.

Also check out the Least Common Multiple of 63552 and 63572