What is the Greatest Common Factor of 1760 and 1770?

Greatest common factor (GCF) of 1760 and 1770 is 10.

GCF(1760,1770) = 10

We will now calculate the prime factors of 1760 and 1770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1760 and 1770.

How to find the GCF of 1760 and 1770?

We will first find the prime factorization of 1760 and 1770. After we will calculate the factors of 1760 and 1770 and find the biggest common factor number .

Step-1: Prime Factorization of 1760

Prime factors of 1760 are 2, 5, 11. Prime factorization of 1760 in exponential form is:

1760 = 2⁵ × 5¹ × 11¹

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 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880

Step-4: Factors of 1770

List of positive integer factors of 1770 that divides 1760 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 1760 and 1770. The biggest common factor number is the GCF number.
So the greatest common factor 1760 and 1770 is 10.

Also check out the Least Common Multiple of 1760 and 1770