What is the Greatest Common Factor of 61536 and 61552?

Greatest common factor (GCF) of 61536 and 61552 is 16.

GCF(61536,61552) = 16

We will now calculate the prime factors of 61536 and 61552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61536 and 61552.

How to find the GCF of 61536 and 61552?

We will first find the prime factorization of 61536 and 61552. After we will calculate the factors of 61536 and 61552 and find the biggest common factor number .

Step-1: Prime Factorization of 61536

Prime factors of 61536 are 2, 3, 641. Prime factorization of 61536 in exponential form is:

61536 = 2⁵ × 3¹ × 641¹

Step-2: Prime Factorization of 61552

Prime factors of 61552 are 2, 3847. Prime factorization of 61552 in exponential form is:

61552 = 2⁴ × 3847¹

Step-3: Factors of 61536

List of positive integer factors of 61536 that divides 61536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 641, 1282, 1923, 2564, 3846, 5128, 7692, 10256, 15384, 20512, 30768

Step-4: Factors of 61552

List of positive integer factors of 61552 that divides 61536 without a remainder.

1, 2, 4, 8, 16, 3847, 7694, 15388, 30776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61536 and 61552. The biggest common factor number is the GCF number.
So the greatest common factor 61536 and 61552 is 16.

Also check out the Least Common Multiple of 61536 and 61552