What is the Greatest Common Factor of 73528 and 73544?

Greatest common factor (GCF) of 73528 and 73544 is 8.

GCF(73528,73544) = 8

We will now calculate the prime factors of 73528 and 73544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73528 and 73544.

How to find the GCF of 73528 and 73544?

We will first find the prime factorization of 73528 and 73544. After we will calculate the factors of 73528 and 73544 and find the biggest common factor number .

Step-1: Prime Factorization of 73528

Prime factors of 73528 are 2, 7, 13, 101. Prime factorization of 73528 in exponential form is:

73528 = 2³ × 7¹ × 13¹ × 101¹

Step-2: 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-3: Factors of 73528

List of positive integer factors of 73528 that divides 73528 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 101, 104, 182, 202, 364, 404, 707, 728, 808, 1313, 1414, 2626, 2828, 5252, 5656, 9191, 10504, 18382, 36764

Step-4: Factors of 73544

List of positive integer factors of 73544 that divides 73528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73528 and 73544. The biggest common factor number is the GCF number.
So the greatest common factor 73528 and 73544 is 8.

Also check out the Least Common Multiple of 73528 and 73544