What is the Greatest Common Factor of 73544 and 73549?

Greatest common factor (GCF) of 73544 and 73549 is 1.

GCF(73544,73549) = 1

We will now calculate the prime factors of 73544 and 73549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73544 and 73549.

How to find the GCF of 73544 and 73549?

We will first find the prime factorization of 73544 and 73549. After we will calculate the factors of 73544 and 73549 and find the biggest common factor number .

Step-1: Prime Factorization of 73544

Prime factors of 73544 are 2, 29, 317. Prime factorization of 73544 in exponential form is:

73544 = 2³ × 29¹ × 317¹

Step-2: Prime Factorization of 73549

Prime factors of 73549 are 7, 19, 79. Prime factorization of 73549 in exponential form is:

73549 = 7² × 19¹ × 79¹

Step-3: Factors of 73544

List of positive integer factors of 73544 that divides 73544 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 317, 634, 1268, 2536, 9193, 18386, 36772

Step-4: Factors of 73549

List of positive integer factors of 73549 that divides 73544 without a remainder.

1, 7, 19, 49, 79, 133, 553, 931, 1501, 3871, 10507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73544 and 73549. The biggest common factor number is the GCF number.
So the greatest common factor 73544 and 73549 is 1.

Also check out the Least Common Multiple of 73544 and 73549