What is the Greatest Common Factor of 73544 and 73556?

Greatest common factor (GCF) of 73544 and 73556 is 4.

GCF(73544,73556) = 4

We will now calculate the prime factors of 73544 and 73556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73544 and 73556.

How to find the GCF of 73544 and 73556?

We will first find the prime factorization of 73544 and 73556. After we will calculate the factors of 73544 and 73556 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 73556

Prime factors of 73556 are 2, 7, 37, 71. Prime factorization of 73556 in exponential form is:

73556 = 2² × 7¹ × 37¹ × 71¹

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 73556

List of positive integer factors of 73556 that divides 73544 without a remainder.

1, 2, 4, 7, 14, 28, 37, 71, 74, 142, 148, 259, 284, 497, 518, 994, 1036, 1988, 2627, 5254, 10508, 18389, 36778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73544 and 73556. The biggest common factor number is the GCF number.
So the greatest common factor 73544 and 73556 is 4.

Also check out the Least Common Multiple of 73544 and 73556