What is the Greatest Common Factor of 72336 and 72349?

Greatest common factor (GCF) of 72336 and 72349 is 1.

GCF(72336,72349) = 1

We will now calculate the prime factors of 72336 and 72349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72336 and 72349.

How to find the GCF of 72336 and 72349?

We will first find the prime factorization of 72336 and 72349. After we will calculate the factors of 72336 and 72349 and find the biggest common factor number .

Step-1: Prime Factorization of 72336

Prime factors of 72336 are 2, 3, 11, 137. Prime factorization of 72336 in exponential form is:

72336 = 2⁴ × 3¹ × 11¹ × 137¹

Step-2: Prime Factorization of 72349

Prime factors of 72349 are 71, 1019. Prime factorization of 72349 in exponential form is:

72349 = 71¹ × 1019¹

Step-3: Factors of 72336

List of positive integer factors of 72336 that divides 72336 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 137, 176, 264, 274, 411, 528, 548, 822, 1096, 1507, 1644, 2192, 3014, 3288, 4521, 6028, 6576, 9042, 12056, 18084, 24112, 36168

Step-4: Factors of 72349

List of positive integer factors of 72349 that divides 72336 without a remainder.

1, 71, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72336 and 72349. The biggest common factor number is the GCF number.
So the greatest common factor 72336 and 72349 is 1.

Also check out the Least Common Multiple of 72336 and 72349