What is the Greatest Common Factor of 61560 and 61572?

Greatest common factor (GCF) of 61560 and 61572 is 12.

GCF(61560,61572) = 12

We will now calculate the prime factors of 61560 and 61572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61560 and 61572.

How to find the GCF of 61560 and 61572?

We will first find the prime factorization of 61560 and 61572. After we will calculate the factors of 61560 and 61572 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 61572

Prime factors of 61572 are 2, 3, 7, 733. Prime factorization of 61572 in exponential form is:

61572 = 2² × 3¹ × 7¹ × 733¹

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 61572

List of positive integer factors of 61572 that divides 61560 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 733, 1466, 2199, 2932, 4398, 5131, 8796, 10262, 15393, 20524, 30786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61560 and 61572. The biggest common factor number is the GCF number.
So the greatest common factor 61560 and 61572 is 12.

Also check out the Least Common Multiple of 61560 and 61572