What is the Greatest Common Factor of 1767 and 1778?

Greatest common factor (GCF) of 1767 and 1778 is 1.

GCF(1767,1778) = 1

We will now calculate the prime factors of 1767 and 1778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1767 and 1778.

How to find the GCF of 1767 and 1778?

We will first find the prime factorization of 1767 and 1778. After we will calculate the factors of 1767 and 1778 and find the biggest common factor number .

Step-1: Prime Factorization of 1767

Prime factors of 1767 are 3, 19, 31. Prime factorization of 1767 in exponential form is:

1767 = 3¹ × 19¹ × 31¹

Step-2: Prime Factorization of 1778

Prime factors of 1778 are 2, 7, 127. Prime factorization of 1778 in exponential form is:

1778 = 2¹ × 7¹ × 127¹

Step-3: Factors of 1767

List of positive integer factors of 1767 that divides 1767 without a remainder.

1, 3, 19, 31, 57, 93, 589

Step-4: Factors of 1778

List of positive integer factors of 1778 that divides 1767 without a remainder.

1, 2, 7, 14, 127, 254, 889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1767 and 1778. The biggest common factor number is the GCF number.
So the greatest common factor 1767 and 1778 is 1.

Also check out the Least Common Multiple of 1767 and 1778