What is the Greatest Common Factor of 1649 and 1655?

Greatest common factor (GCF) of 1649 and 1655 is 1.

GCF(1649,1655) = 1

We will now calculate the prime factors of 1649 and 1655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1649 and 1655.

How to find the GCF of 1649 and 1655?

We will first find the prime factorization of 1649 and 1655. After we will calculate the factors of 1649 and 1655 and find the biggest common factor number .

Step-1: Prime Factorization of 1649

Prime factors of 1649 are 17, 97. Prime factorization of 1649 in exponential form is:

1649 = 17¹ × 97¹

Step-2: Prime Factorization of 1655

Prime factors of 1655 are 5, 331. Prime factorization of 1655 in exponential form is:

1655 = 5¹ × 331¹

Step-3: Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1, 17, 97

Step-4: Factors of 1655

List of positive integer factors of 1655 that divides 1649 without a remainder.

1, 5, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1649 and 1655. The biggest common factor number is the GCF number.
So the greatest common factor 1649 and 1655 is 1.

Also check out the Least Common Multiple of 1649 and 1655