What is the Greatest Common Factor of 1758 and 1776?

Greatest common factor (GCF) of 1758 and 1776 is 6.

GCF(1758,1776) = 6

We will now calculate the prime factors of 1758 and 1776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1758 and 1776.

How to find the GCF of 1758 and 1776?

We will first find the prime factorization of 1758 and 1776. After we will calculate the factors of 1758 and 1776 and find the biggest common factor number .

Step-1: Prime Factorization of 1758

Prime factors of 1758 are 2, 3, 293. Prime factorization of 1758 in exponential form is:

1758 = 2¹ × 3¹ × 293¹

Step-2: Prime Factorization of 1776

Prime factors of 1776 are 2, 3, 37. Prime factorization of 1776 in exponential form is:

1776 = 2⁴ × 3¹ × 37¹

Step-3: Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1, 2, 3, 6, 293, 586, 879

Step-4: Factors of 1776

List of positive integer factors of 1776 that divides 1758 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1758 and 1776. The biggest common factor number is the GCF number.
So the greatest common factor 1758 and 1776 is 6.

Also check out the Least Common Multiple of 1758 and 1776