What is the Greatest Common Factor of 63538 and 63552?

Greatest common factor (GCF) of 63538 and 63552 is 2.

GCF(63538,63552) = 2

We will now calculate the prime factors of 63538 and 63552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63538 and 63552.

How to find the GCF of 63538 and 63552?

We will first find the prime factorization of 63538 and 63552. After we will calculate the factors of 63538 and 63552 and find the biggest common factor number .

Step-1: Prime Factorization of 63538

Prime factors of 63538 are 2, 31769. Prime factorization of 63538 in exponential form is:

63538 = 2¹ × 31769¹

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 63538

List of positive integer factors of 63538 that divides 63538 without a remainder.

1, 2, 31769

Step-4: Factors of 63552

List of positive integer factors of 63552 that divides 63538 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 63538 and 63552. The biggest common factor number is the GCF number.
So the greatest common factor 63538 and 63552 is 2.

Also check out the Least Common Multiple of 63538 and 63552