What is the Greatest Common Factor of 61600 and 61616?

Greatest common factor (GCF) of 61600 and 61616 is 16.

GCF(61600,61616) = 16

We will now calculate the prime factors of 61600 and 61616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61600 and 61616.

How to find the GCF of 61600 and 61616?

We will first find the prime factorization of 61600 and 61616. After we will calculate the factors of 61600 and 61616 and find the biggest common factor number .

Step-1: Prime Factorization of 61600

Prime factors of 61600 are 2, 5, 7, 11. Prime factorization of 61600 in exponential form is:

61600 = 2⁵ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 61616

Prime factors of 61616 are 2, 3851. Prime factorization of 61616 in exponential form is:

61616 = 2⁴ × 3851¹

Step-3: Factors of 61600

List of positive integer factors of 61600 that divides 61600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 25, 28, 32, 35, 40, 44, 50, 55, 56, 70, 77, 80, 88, 100, 110, 112, 140, 154, 160, 175, 176, 200, 220, 224, 275, 280, 308, 350, 352, 385, 400, 440, 550, 560, 616, 700, 770, 800, 880, 1100, 1120, 1232, 1400, 1540, 1760, 1925, 2200, 2464, 2800, 3080, 3850, 4400, 5600, 6160, 7700, 8800, 12320, 15400, 30800

Step-4: Factors of 61616

List of positive integer factors of 61616 that divides 61600 without a remainder.

1, 2, 4, 8, 16, 3851, 7702, 15404, 30808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61600 and 61616. The biggest common factor number is the GCF number.
So the greatest common factor 61600 and 61616 is 16.

Also check out the Least Common Multiple of 61600 and 61616