What is the Greatest Common Factor of 1649 and 1657?

Greatest common factor (GCF) of 1649 and 1657 is 1.

GCF(1649,1657) = 1

We will now calculate the prime factors of 1649 and 1657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1649 and 1657.

How to find the GCF of 1649 and 1657?

We will first find the prime factorization of 1649 and 1657. After we will calculate the factors of 1649 and 1657 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 1657

Prime factors of 1657 are 1657. Prime factorization of 1657 in exponential form is:

1657 = 1657¹

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 1657

List of positive integer factors of 1657 that divides 1649 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1649 and 1657. The biggest common factor number is the GCF number.
So the greatest common factor 1649 and 1657 is 1.

Also check out the Least Common Multiple of 1649 and 1657