What is the Greatest Common Factor of 1765 and 1770?

Greatest common factor (GCF) of 1765 and 1770 is 5.

GCF(1765,1770) = 5

We will now calculate the prime factors of 1765 and 1770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1765 and 1770.

How to find the GCF of 1765 and 1770?

We will first find the prime factorization of 1765 and 1770. After we will calculate the factors of 1765 and 1770 and find the biggest common factor number .

Step-1: Prime Factorization of 1765

Prime factors of 1765 are 5, 353. Prime factorization of 1765 in exponential form is:

1765 = 5¹ × 353¹

Step-2: Prime Factorization of 1770

Prime factors of 1770 are 2, 3, 5, 59. Prime factorization of 1770 in exponential form is:

1770 = 2¹ × 3¹ × 5¹ × 59¹

Step-3: Factors of 1765

List of positive integer factors of 1765 that divides 1765 without a remainder.

1, 5, 353

Step-4: Factors of 1770

List of positive integer factors of 1770 that divides 1765 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1765 and 1770. The biggest common factor number is the GCF number.
So the greatest common factor 1765 and 1770 is 5.

Also check out the Least Common Multiple of 1765 and 1770