What is the Greatest Common Factor of 73834 and 73848?

Greatest common factor (GCF) of 73834 and 73848 is 2.

GCF(73834,73848) = 2

We will now calculate the prime factors of 73834 and 73848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73834 and 73848.

How to find the GCF of 73834 and 73848?

We will first find the prime factorization of 73834 and 73848. After we will calculate the factors of 73834 and 73848 and find the biggest common factor number .

Step-1: Prime Factorization of 73834

Prime factors of 73834 are 2, 19, 29, 67. Prime factorization of 73834 in exponential form is:

73834 = 2¹ × 19¹ × 29¹ × 67¹

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 73834

List of positive integer factors of 73834 that divides 73834 without a remainder.

1, 2, 19, 29, 38, 58, 67, 134, 551, 1102, 1273, 1943, 2546, 3886, 36917

Step-4: Factors of 73848

List of positive integer factors of 73848 that divides 73834 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 73834 and 73848. The biggest common factor number is the GCF number.
So the greatest common factor 73834 and 73848 is 2.

Also check out the Least Common Multiple of 73834 and 73848