What is the Greatest Common Factor of 73242 and 73251?

Greatest common factor (GCF) of 73242 and 73251 is 9.

GCF(73242,73251) = 9

We will now calculate the prime factors of 73242 and 73251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73242 and 73251.

How to find the GCF of 73242 and 73251?

We will first find the prime factorization of 73242 and 73251. After we will calculate the factors of 73242 and 73251 and find the biggest common factor number .

Step-1: Prime Factorization of 73242

Prime factors of 73242 are 2, 3, 13, 313. Prime factorization of 73242 in exponential form is:

73242 = 2¹ × 3² × 13¹ × 313¹

Step-2: Prime Factorization of 73251

Prime factors of 73251 are 3, 2713. Prime factorization of 73251 in exponential form is:

73251 = 3³ × 2713¹

Step-3: Factors of 73242

List of positive integer factors of 73242 that divides 73242 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 313, 626, 939, 1878, 2817, 4069, 5634, 8138, 12207, 24414, 36621

Step-4: Factors of 73251

List of positive integer factors of 73251 that divides 73242 without a remainder.

1, 3, 9, 27, 2713, 8139, 24417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73242 and 73251. The biggest common factor number is the GCF number.
So the greatest common factor 73242 and 73251 is 9.

Also check out the Least Common Multiple of 73242 and 73251