What is the Greatest Common Factor of 61542 and 61560?

Greatest common factor (GCF) of 61542 and 61560 is 18.

GCF(61542,61560) = 18

We will now calculate the prime factors of 61542 and 61560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61542 and 61560.

How to find the GCF of 61542 and 61560?

We will first find the prime factorization of 61542 and 61560. After we will calculate the factors of 61542 and 61560 and find the biggest common factor number .

Step-1: Prime Factorization of 61542

Prime factors of 61542 are 2, 3, 13, 263. Prime factorization of 61542 in exponential form is:

61542 = 2¹ × 3² × 13¹ × 263¹

Step-2: 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-3: Factors of 61542

List of positive integer factors of 61542 that divides 61542 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 263, 526, 789, 1578, 2367, 3419, 4734, 6838, 10257, 20514, 30771

Step-4: Factors of 61560

List of positive integer factors of 61560 that divides 61542 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61542 and 61560. The biggest common factor number is the GCF number.
So the greatest common factor 61542 and 61560 is 18.

Also check out the Least Common Multiple of 61542 and 61560