What is the Greatest Common Factor of 61524 and 61536?

Greatest common factor (GCF) of 61524 and 61536 is 12.

GCF(61524,61536) = 12

We will now calculate the prime factors of 61524 and 61536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61524 and 61536.

How to find the GCF of 61524 and 61536?

We will first find the prime factorization of 61524 and 61536. After we will calculate the factors of 61524 and 61536 and find the biggest common factor number .

Step-1: Prime Factorization of 61524

Prime factors of 61524 are 2, 3, 1709. Prime factorization of 61524 in exponential form is:

61524 = 2² × 3² × 1709¹

Step-2: 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-3: Factors of 61524

List of positive integer factors of 61524 that divides 61524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1709, 3418, 5127, 6836, 10254, 15381, 20508, 30762

Step-4: Factors of 61536

List of positive integer factors of 61536 that divides 61524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61524 and 61536. The biggest common factor number is the GCF number.
So the greatest common factor 61524 and 61536 is 12.

Also check out the Least Common Multiple of 61524 and 61536