What is the Greatest Common Factor of 61536 and 61556?

Greatest common factor (GCF) of 61536 and 61556 is 4.

GCF(61536,61556) = 4

We will now calculate the prime factors of 61536 and 61556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61536 and 61556.

How to find the GCF of 61536 and 61556?

We will first find the prime factorization of 61536 and 61556. After we will calculate the factors of 61536 and 61556 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 61556

Prime factors of 61556 are 2, 11, 1399. Prime factorization of 61556 in exponential form is:

61556 = 2² × 11¹ × 1399¹

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 61556

List of positive integer factors of 61556 that divides 61536 without a remainder.

1, 2, 4, 11, 22, 44, 1399, 2798, 5596, 15389, 30778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61536 and 61556. The biggest common factor number is the GCF number.
So the greatest common factor 61536 and 61556 is 4.

Also check out the Least Common Multiple of 61536 and 61556