What is the Greatest Common Factor of 71760 and 71777?

Greatest common factor (GCF) of 71760 and 71777 is 1.

GCF(71760,71777) = 1

We will now calculate the prime factors of 71760 and 71777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71760 and 71777.

How to find the GCF of 71760 and 71777?

We will first find the prime factorization of 71760 and 71777. After we will calculate the factors of 71760 and 71777 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71777

Prime factors of 71777 are 71777. Prime factorization of 71777 in exponential form is:

71777 = 71777¹

Step-3: Factors of 71760

List of positive integer factors of 71760 that divides 71760 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

Step-4: Factors of 71777

List of positive integer factors of 71777 that divides 71760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71760 and 71777. The biggest common factor number is the GCF number.
So the greatest common factor 71760 and 71777 is 1.

Also check out the Least Common Multiple of 71760 and 71777