What is the Greatest Common Factor of 61560 and 61568?

Greatest common factor (GCF) of 61560 and 61568 is 8.

GCF(61560,61568) = 8

We will now calculate the prime factors of 61560 and 61568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61560 and 61568.

How to find the GCF of 61560 and 61568?

We will first find the prime factorization of 61560 and 61568. After we will calculate the factors of 61560 and 61568 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 61568

Prime factors of 61568 are 2, 13, 37. Prime factorization of 61568 in exponential form is:

61568 = 2⁷ × 13¹ × 37¹

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 61568

List of positive integer factors of 61568 that divides 61560 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 37, 52, 64, 74, 104, 128, 148, 208, 296, 416, 481, 592, 832, 962, 1184, 1664, 1924, 2368, 3848, 4736, 7696, 15392, 30784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61560 and 61568. The biggest common factor number is the GCF number.
So the greatest common factor 61560 and 61568 is 8.

Also check out the Least Common Multiple of 61560 and 61568