What is the Greatest Common Factor of 72846 and 72865?

Greatest common factor (GCF) of 72846 and 72865 is 19.

GCF(72846,72865) = 19

We will now calculate the prime factors of 72846 and 72865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72846 and 72865.

How to find the GCF of 72846 and 72865?

We will first find the prime factorization of 72846 and 72865. After we will calculate the factors of 72846 and 72865 and find the biggest common factor number .

Step-1: Prime Factorization of 72846

Prime factors of 72846 are 2, 3, 19, 71. Prime factorization of 72846 in exponential form is:

72846 = 2¹ × 3³ × 19¹ × 71¹

Step-2: Prime Factorization of 72865

Prime factors of 72865 are 5, 13, 19, 59. Prime factorization of 72865 in exponential form is:

72865 = 5¹ × 13¹ × 19¹ × 59¹

Step-3: Factors of 72846

List of positive integer factors of 72846 that divides 72846 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 71, 114, 142, 171, 213, 342, 426, 513, 639, 1026, 1278, 1349, 1917, 2698, 3834, 4047, 8094, 12141, 24282, 36423

Step-4: Factors of 72865

List of positive integer factors of 72865 that divides 72846 without a remainder.

1, 5, 13, 19, 59, 65, 95, 247, 295, 767, 1121, 1235, 3835, 5605, 14573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72846 and 72865. The biggest common factor number is the GCF number.
So the greatest common factor 72846 and 72865 is 19.

Also check out the Least Common Multiple of 72846 and 72865