What is the Greatest Common Factor of 61344 and 61364?

Greatest common factor (GCF) of 61344 and 61364 is 4.

GCF(61344,61364) = 4

We will now calculate the prime factors of 61344 and 61364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61344 and 61364.

How to find the GCF of 61344 and 61364?

We will first find the prime factorization of 61344 and 61364. After we will calculate the factors of 61344 and 61364 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 61364

Prime factors of 61364 are 2, 23, 29. Prime factorization of 61364 in exponential form is:

61364 = 2² × 23² × 29¹

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 61364

List of positive integer factors of 61364 that divides 61344 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 529, 667, 1058, 1334, 2116, 2668, 15341, 30682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61344 and 61364. The biggest common factor number is the GCF number.
So the greatest common factor 61344 and 61364 is 4.

Also check out the Least Common Multiple of 61344 and 61364