What is the Greatest Common Factor of 61344 and 61363?

Greatest common factor (GCF) of 61344 and 61363 is 1.

GCF(61344,61363) = 1

We will now calculate the prime factors of 61344 and 61363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61344 and 61363.

How to find the GCF of 61344 and 61363?

We will first find the prime factorization of 61344 and 61363. After we will calculate the factors of 61344 and 61363 and find the biggest common factor number .

Step-1: Prime Factorization of 61344

Prime factors of 61344 are 2, 3, 71. Prime factorization of 61344 in exponential form is:

61344 = 2⁵ × 3³ × 71¹

Step-2: Prime Factorization of 61363

Prime factors of 61363 are 61363. Prime factorization of 61363 in exponential form is:

61363 = 61363¹

Step-3: Factors of 61344

List of positive integer factors of 61344 that divides 61344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 71, 72, 96, 108, 142, 144, 213, 216, 284, 288, 426, 432, 568, 639, 852, 864, 1136, 1278, 1704, 1917, 2272, 2556, 3408, 3834, 5112, 6816, 7668, 10224, 15336, 20448, 30672

Step-4: Factors of 61363

List of positive integer factors of 61363 that divides 61344 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61344 and 61363. The biggest common factor number is the GCF number.
So the greatest common factor 61344 and 61363 is 1.

Also check out the Least Common Multiple of 61344 and 61363