What is the Greatest Common Factor of 73030 and 73040?

Greatest common factor (GCF) of 73030 and 73040 is 10.

GCF(73030,73040) = 10

We will now calculate the prime factors of 73030 and 73040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73030 and 73040.

How to find the GCF of 73030 and 73040?

We will first find the prime factorization of 73030 and 73040. After we will calculate the factors of 73030 and 73040 and find the biggest common factor number .

Step-1: Prime Factorization of 73030

Prime factors of 73030 are 2, 5, 67, 109. Prime factorization of 73030 in exponential form is:

73030 = 2¹ × 5¹ × 67¹ × 109¹

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 73030

List of positive integer factors of 73030 that divides 73030 without a remainder.

1, 2, 5, 10, 67, 109, 134, 218, 335, 545, 670, 1090, 7303, 14606, 36515

Step-4: Factors of 73040

List of positive integer factors of 73040 that divides 73030 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 73030 and 73040. The biggest common factor number is the GCF number.
So the greatest common factor 73030 and 73040 is 10.

Also check out the Least Common Multiple of 73030 and 73040