What is the Greatest Common Factor of 73710 and 73714?

Greatest common factor (GCF) of 73710 and 73714 is 2.

GCF(73710,73714) = 2

We will now calculate the prime factors of 73710 and 73714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73710 and 73714.

How to find the GCF of 73710 and 73714?

We will first find the prime factorization of 73710 and 73714. After we will calculate the factors of 73710 and 73714 and find the biggest common factor number .

Step-1: Prime Factorization of 73710

Prime factors of 73710 are 2, 3, 5, 7, 13. Prime factorization of 73710 in exponential form is:

73710 = 2¹ × 3⁴ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 73714

Prime factors of 73714 are 2, 36857. Prime factorization of 73714 in exponential form is:

73714 = 2¹ × 36857¹

Step-3: Factors of 73710

List of positive integer factors of 73710 that divides 73710 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 27, 30, 35, 39, 42, 45, 54, 63, 65, 70, 78, 81, 90, 91, 105, 117, 126, 130, 135, 162, 182, 189, 195, 210, 234, 270, 273, 315, 351, 378, 390, 405, 455, 546, 567, 585, 630, 702, 810, 819, 910, 945, 1053, 1134, 1170, 1365, 1638, 1755, 1890, 2106, 2457, 2730, 2835, 3510, 4095, 4914, 5265, 5670, 7371, 8190, 10530, 12285, 14742, 24570, 36855

Step-4: Factors of 73714

List of positive integer factors of 73714 that divides 73710 without a remainder.

1, 2, 36857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73710 and 73714. The biggest common factor number is the GCF number.
So the greatest common factor 73710 and 73714 is 2.

Also check out the Least Common Multiple of 73710 and 73714