What is the Greatest Common Factor of 63552 and 63562?

Greatest common factor (GCF) of 63552 and 63562 is 2.

GCF(63552,63562) = 2

We will now calculate the prime factors of 63552 and 63562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63552 and 63562.

How to find the GCF of 63552 and 63562?

We will first find the prime factorization of 63552 and 63562. After we will calculate the factors of 63552 and 63562 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 63562

Prime factors of 63562 are 2, 61, 521. Prime factorization of 63562 in exponential form is:

63562 = 2¹ × 61¹ × 521¹

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 63562

List of positive integer factors of 63562 that divides 63552 without a remainder.

1, 2, 61, 122, 521, 1042, 31781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63552 and 63562. The biggest common factor number is the GCF number.
So the greatest common factor 63552 and 63562 is 2.

Also check out the Least Common Multiple of 63552 and 63562