What is the Greatest Common Factor of 61845 and 61864?

Greatest common factor (GCF) of 61845 and 61864 is 19.

GCF(61845,61864) = 19

We will now calculate the prime factors of 61845 and 61864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61845 and 61864.

How to find the GCF of 61845 and 61864?

We will first find the prime factorization of 61845 and 61864. After we will calculate the factors of 61845 and 61864 and find the biggest common factor number .

Step-1: Prime Factorization of 61845

Prime factors of 61845 are 3, 5, 7, 19, 31. Prime factorization of 61845 in exponential form is:

61845 = 3¹ × 5¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 61864

Prime factors of 61864 are 2, 11, 19, 37. Prime factorization of 61864 in exponential form is:

61864 = 2³ × 11¹ × 19¹ × 37¹

Step-3: Factors of 61845

List of positive integer factors of 61845 that divides 61845 without a remainder.

1, 3, 5, 7, 15, 19, 21, 31, 35, 57, 93, 95, 105, 133, 155, 217, 285, 399, 465, 589, 651, 665, 1085, 1767, 1995, 2945, 3255, 4123, 8835, 12369, 20615

Step-4: Factors of 61864

List of positive integer factors of 61864 that divides 61845 without a remainder.

1, 2, 4, 8, 11, 19, 22, 37, 38, 44, 74, 76, 88, 148, 152, 209, 296, 407, 418, 703, 814, 836, 1406, 1628, 1672, 2812, 3256, 5624, 7733, 15466, 30932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61845 and 61864. The biggest common factor number is the GCF number.
So the greatest common factor 61845 and 61864 is 19.

Also check out the Least Common Multiple of 61845 and 61864