What is the Greatest Common Factor of 61560 and 61574?

Greatest common factor (GCF) of 61560 and 61574 is 2.

GCF(61560,61574) = 2

We will now calculate the prime factors of 61560 and 61574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61560 and 61574.

How to find the GCF of 61560 and 61574?

We will first find the prime factorization of 61560 and 61574. After we will calculate the factors of 61560 and 61574 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 61574

Prime factors of 61574 are 2, 17, 1811. Prime factorization of 61574 in exponential form is:

61574 = 2¹ × 17¹ × 1811¹

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 61574

List of positive integer factors of 61574 that divides 61560 without a remainder.

1, 2, 17, 34, 1811, 3622, 30787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61560 and 61574. The biggest common factor number is the GCF number.
So the greatest common factor 61560 and 61574 is 2.

Also check out the Least Common Multiple of 61560 and 61574