What is the Greatest Common Factor of 61344 and 61356?

Greatest common factor (GCF) of 61344 and 61356 is 12.

GCF(61344,61356) = 12

We will now calculate the prime factors of 61344 and 61356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61344 and 61356.

How to find the GCF of 61344 and 61356?

We will first find the prime factorization of 61344 and 61356. After we will calculate the factors of 61344 and 61356 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 61356

Prime factors of 61356 are 2, 3, 5113. Prime factorization of 61356 in exponential form is:

61356 = 2² × 3¹ × 5113¹

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 61356

List of positive integer factors of 61356 that divides 61344 without a remainder.

1, 2, 3, 4, 6, 12, 5113, 10226, 15339, 20452, 30678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61344 and 61356. The biggest common factor number is the GCF number.
So the greatest common factor 61344 and 61356 is 12.

Also check out the Least Common Multiple of 61344 and 61356