What is the Greatest Common Factor of 61340 and 61344?

Greatest common factor (GCF) of 61340 and 61344 is 4.

GCF(61340,61344) = 4

We will now calculate the prime factors of 61340 and 61344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61340 and 61344.

How to find the GCF of 61340 and 61344?

We will first find the prime factorization of 61340 and 61344. After we will calculate the factors of 61340 and 61344 and find the biggest common factor number .

Step-1: Prime Factorization of 61340

Prime factors of 61340 are 2, 5, 3067. Prime factorization of 61340 in exponential form is:

61340 = 2² × 5¹ × 3067¹

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 61340

List of positive integer factors of 61340 that divides 61340 without a remainder.

1, 2, 4, 5, 10, 20, 3067, 6134, 12268, 15335, 30670

Step-4: Factors of 61344

List of positive integer factors of 61344 that divides 61340 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 61340 and 61344. The biggest common factor number is the GCF number.
So the greatest common factor 61340 and 61344 is 4.

Also check out the Least Common Multiple of 61340 and 61344