What is the Greatest Common Factor of 73476 and 73494?

Greatest common factor (GCF) of 73476 and 73494 is 18.

GCF(73476,73494) = 18

We will now calculate the prime factors of 73476 and 73494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73476 and 73494.

How to find the GCF of 73476 and 73494?

We will first find the prime factorization of 73476 and 73494. After we will calculate the factors of 73476 and 73494 and find the biggest common factor number .

Step-1: Prime Factorization of 73476

Prime factors of 73476 are 2, 3, 13, 157. Prime factorization of 73476 in exponential form is:

73476 = 2² × 3² × 13¹ × 157¹

Step-2: Prime Factorization of 73494

Prime factors of 73494 are 2, 3, 1361. Prime factorization of 73494 in exponential form is:

73494 = 2¹ × 3³ × 1361¹

Step-3: Factors of 73476

List of positive integer factors of 73476 that divides 73476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 157, 234, 314, 468, 471, 628, 942, 1413, 1884, 2041, 2826, 4082, 5652, 6123, 8164, 12246, 18369, 24492, 36738

Step-4: Factors of 73494

List of positive integer factors of 73494 that divides 73476 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1361, 2722, 4083, 8166, 12249, 24498, 36747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73476 and 73494. The biggest common factor number is the GCF number.
So the greatest common factor 73476 and 73494 is 18.

Also check out the Least Common Multiple of 73476 and 73494