What is the Greatest Common Factor of 61334 and 61344?

Greatest common factor (GCF) of 61334 and 61344 is 2.

GCF(61334,61344) = 2

We will now calculate the prime factors of 61334 and 61344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61334 and 61344.

How to find the GCF of 61334 and 61344?

We will first find the prime factorization of 61334 and 61344. After we will calculate the factors of 61334 and 61344 and find the biggest common factor number .

Step-1: Prime Factorization of 61334

Prime factors of 61334 are 2, 7, 13, 337. Prime factorization of 61334 in exponential form is:

61334 = 2¹ × 7¹ × 13¹ × 337¹

Step-2: 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-3: Factors of 61334

List of positive integer factors of 61334 that divides 61334 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 337, 674, 2359, 4381, 4718, 8762, 30667

Step-4: Factors of 61344

List of positive integer factors of 61344 that divides 61334 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61334 and 61344. The biggest common factor number is the GCF number.
So the greatest common factor 61334 and 61344 is 2.

Also check out the Least Common Multiple of 61334 and 61344