What is the Greatest Common Factor of 71743 and 71760?

Greatest common factor (GCF) of 71743 and 71760 is 1.

GCF(71743,71760) = 1

We will now calculate the prime factors of 71743 and 71760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71743 and 71760.

How to find the GCF of 71743 and 71760?

We will first find the prime factorization of 71743 and 71760. After we will calculate the factors of 71743 and 71760 and find the biggest common factor number .

Step-1: Prime Factorization of 71743

Prime factors of 71743 are 7, 37, 277. Prime factorization of 71743 in exponential form is:

71743 = 7¹ × 37¹ × 277¹

Step-2: Prime Factorization of 71760

Prime factors of 71760 are 2, 3, 5, 13, 23. Prime factorization of 71760 in exponential form is:

71760 = 2⁴ × 3¹ × 5¹ × 13¹ × 23¹

Step-3: Factors of 71743

List of positive integer factors of 71743 that divides 71743 without a remainder.

1, 7, 37, 259, 277, 1939, 10249

Step-4: Factors of 71760

List of positive integer factors of 71760 that divides 71743 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 23, 24, 26, 30, 39, 40, 46, 48, 52, 60, 65, 69, 78, 80, 92, 104, 115, 120, 130, 138, 156, 184, 195, 208, 230, 240, 260, 276, 299, 312, 345, 368, 390, 460, 520, 552, 598, 624, 690, 780, 897, 920, 1040, 1104, 1196, 1380, 1495, 1560, 1794, 1840, 2392, 2760, 2990, 3120, 3588, 4485, 4784, 5520, 5980, 7176, 8970, 11960, 14352, 17940, 23920, 35880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71743 and 71760. The biggest common factor number is the GCF number.
So the greatest common factor 71743 and 71760 is 1.

Also check out the Least Common Multiple of 71743 and 71760