What is the Greatest Common Factor of 61560 and 61578?

Greatest common factor (GCF) of 61560 and 61578 is 18.

GCF(61560,61578) = 18

We will now calculate the prime factors of 61560 and 61578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61560 and 61578.

How to find the GCF of 61560 and 61578?

We will first find the prime factorization of 61560 and 61578. After we will calculate the factors of 61560 and 61578 and find the biggest common factor number .

Step-1: Prime Factorization of 61560

Prime factors of 61560 are 2, 3, 5, 19. Prime factorization of 61560 in exponential form is:

61560 = 2³ × 3⁴ × 5¹ × 19¹

Step-2: Prime Factorization of 61578

Prime factors of 61578 are 2, 3, 11, 311. Prime factorization of 61578 in exponential form is:

61578 = 2¹ × 3² × 11¹ × 311¹

Step-3: Factors of 61560

List of positive integer factors of 61560 that divides 61560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 54, 57, 60, 72, 76, 81, 90, 95, 108, 114, 120, 135, 152, 162, 171, 180, 190, 216, 228, 270, 285, 324, 342, 360, 380, 405, 456, 513, 540, 570, 648, 684, 760, 810, 855, 1026, 1080, 1140, 1368, 1539, 1620, 1710, 2052, 2280, 2565, 3078, 3240, 3420, 4104, 5130, 6156, 6840, 7695, 10260, 12312, 15390, 20520, 30780

Step-4: Factors of 61578

List of positive integer factors of 61578 that divides 61560 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 311, 622, 933, 1866, 2799, 3421, 5598, 6842, 10263, 20526, 30789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61560 and 61578. The biggest common factor number is the GCF number.
So the greatest common factor 61560 and 61578 is 18.

Also check out the Least Common Multiple of 61560 and 61578