What is the Greatest Common Factor of 73831 and 73848?

Greatest common factor (GCF) of 73831 and 73848 is 17.

GCF(73831,73848) = 17

We will now calculate the prime factors of 73831 and 73848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73831 and 73848.

How to find the GCF of 73831 and 73848?

We will first find the prime factorization of 73831 and 73848. After we will calculate the factors of 73831 and 73848 and find the biggest common factor number .

Step-1: Prime Factorization of 73831

Prime factors of 73831 are 17, 43, 101. Prime factorization of 73831 in exponential form is:

73831 = 17¹ × 43¹ × 101¹

Step-2: Prime Factorization of 73848

Prime factors of 73848 are 2, 3, 17, 181. Prime factorization of 73848 in exponential form is:

73848 = 2³ × 3¹ × 17¹ × 181¹

Step-3: Factors of 73831

List of positive integer factors of 73831 that divides 73831 without a remainder.

1, 17, 43, 101, 731, 1717, 4343

Step-4: Factors of 73848

List of positive integer factors of 73848 that divides 73831 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 181, 204, 362, 408, 543, 724, 1086, 1448, 2172, 3077, 4344, 6154, 9231, 12308, 18462, 24616, 36924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73831 and 73848. The biggest common factor number is the GCF number.
So the greatest common factor 73831 and 73848 is 17.

Also check out the Least Common Multiple of 73831 and 73848