What is the Greatest Common Factor of 61516 and 61536?

Greatest common factor (GCF) of 61516 and 61536 is 4.

GCF(61516,61536) = 4

We will now calculate the prime factors of 61516 and 61536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61516 and 61536.

How to find the GCF of 61516 and 61536?

We will first find the prime factorization of 61516 and 61536. After we will calculate the factors of 61516 and 61536 and find the biggest common factor number .

Step-1: Prime Factorization of 61516

Prime factors of 61516 are 2, 7, 13. Prime factorization of 61516 in exponential form is:

61516 = 2² × 7¹ × 13³

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 61516

List of positive integer factors of 61516 that divides 61516 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2197, 2366, 4394, 4732, 8788, 15379, 30758

Step-4: Factors of 61536

List of positive integer factors of 61536 that divides 61516 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 61516 and 61536. The biggest common factor number is the GCF number.
So the greatest common factor 61516 and 61536 is 4.

Also check out the Least Common Multiple of 61516 and 61536