What is the Greatest Common Factor of 65544 and 65552?

Greatest common factor (GCF) of 65544 and 65552 is 8.

GCF(65544,65552) = 8

We will now calculate the prime factors of 65544 and 65552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65544 and 65552.

How to find the GCF of 65544 and 65552?

We will first find the prime factorization of 65544 and 65552. After we will calculate the factors of 65544 and 65552 and find the biggest common factor number .

Step-1: Prime Factorization of 65544

Prime factors of 65544 are 2, 3, 2731. Prime factorization of 65544 in exponential form is:

65544 = 2³ × 3¹ × 2731¹

Step-2: Prime Factorization of 65552

Prime factors of 65552 are 2, 17, 241. Prime factorization of 65552 in exponential form is:

65552 = 2⁴ × 17¹ × 241¹

Step-3: Factors of 65544

List of positive integer factors of 65544 that divides 65544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2731, 5462, 8193, 10924, 16386, 21848, 32772

Step-4: Factors of 65552

List of positive integer factors of 65552 that divides 65544 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 241, 272, 482, 964, 1928, 3856, 4097, 8194, 16388, 32776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65544 and 65552. The biggest common factor number is the GCF number.
So the greatest common factor 65544 and 65552 is 8.

Also check out the Least Common Multiple of 65544 and 65552