What is the Greatest Common Factor of 73024 and 73040?

Greatest common factor (GCF) of 73024 and 73040 is 16.

GCF(73024,73040) = 16

We will now calculate the prime factors of 73024 and 73040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73024 and 73040.

How to find the GCF of 73024 and 73040?

We will first find the prime factorization of 73024 and 73040. After we will calculate the factors of 73024 and 73040 and find the biggest common factor number .

Step-1: Prime Factorization of 73024

Prime factors of 73024 are 2, 7, 163. Prime factorization of 73024 in exponential form is:

73024 = 2⁶ × 7¹ × 163¹

Step-2: Prime Factorization of 73040

Prime factors of 73040 are 2, 5, 11, 83. Prime factorization of 73040 in exponential form is:

73040 = 2⁴ × 5¹ × 11¹ × 83¹

Step-3: Factors of 73024

List of positive integer factors of 73024 that divides 73024 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 163, 224, 326, 448, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 10432, 18256, 36512

Step-4: Factors of 73040

List of positive integer factors of 73040 that divides 73024 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 83, 88, 110, 166, 176, 220, 332, 415, 440, 664, 830, 880, 913, 1328, 1660, 1826, 3320, 3652, 4565, 6640, 7304, 9130, 14608, 18260, 36520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73024 and 73040. The biggest common factor number is the GCF number.
So the greatest common factor 73024 and 73040 is 16.

Also check out the Least Common Multiple of 73024 and 73040