What is the Greatest Common Factor of 65550 and 65560?

Greatest common factor (GCF) of 65550 and 65560 is 10.

GCF(65550,65560) = 10

We will now calculate the prime factors of 65550 and 65560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65550 and 65560.

How to find the GCF of 65550 and 65560?

We will first find the prime factorization of 65550 and 65560. After we will calculate the factors of 65550 and 65560 and find the biggest common factor number .

Step-1: Prime Factorization of 65550

Prime factors of 65550 are 2, 3, 5, 19, 23. Prime factorization of 65550 in exponential form is:

65550 = 2¹ × 3¹ × 5² × 19¹ × 23¹

Step-2: Prime Factorization of 65560

Prime factors of 65560 are 2, 5, 11, 149. Prime factorization of 65560 in exponential form is:

65560 = 2³ × 5¹ × 11¹ × 149¹

Step-3: Factors of 65550

List of positive integer factors of 65550 that divides 65550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 23, 25, 30, 38, 46, 50, 57, 69, 75, 95, 114, 115, 138, 150, 190, 230, 285, 345, 437, 475, 570, 575, 690, 874, 950, 1150, 1311, 1425, 1725, 2185, 2622, 2850, 3450, 4370, 6555, 10925, 13110, 21850, 32775

Step-4: Factors of 65560

List of positive integer factors of 65560 that divides 65550 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 149, 220, 298, 440, 596, 745, 1192, 1490, 1639, 2980, 3278, 5960, 6556, 8195, 13112, 16390, 32780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65550 and 65560. The biggest common factor number is the GCF number.
So the greatest common factor 65550 and 65560 is 10.

Also check out the Least Common Multiple of 65550 and 65560