What is the Greatest Common Factor of 61600 and 61611?

Greatest common factor (GCF) of 61600 and 61611 is 11.

GCF(61600,61611) = 11

We will now calculate the prime factors of 61600 and 61611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61600 and 61611.

How to find the GCF of 61600 and 61611?

We will first find the prime factorization of 61600 and 61611. After we will calculate the factors of 61600 and 61611 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 61611

Prime factors of 61611 are 3, 11, 1867. Prime factorization of 61611 in exponential form is:

61611 = 3¹ × 11¹ × 1867¹

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 61611

List of positive integer factors of 61611 that divides 61600 without a remainder.

1, 3, 11, 33, 1867, 5601, 20537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61600 and 61611. The biggest common factor number is the GCF number.
So the greatest common factor 61600 and 61611 is 11.

Also check out the Least Common Multiple of 61600 and 61611