What is the Greatest Common Factor of 1637 and 1649?

Greatest common factor (GCF) of 1637 and 1649 is 1.

GCF(1637,1649) = 1

We will now calculate the prime factors of 1637 and 1649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1637 and 1649.

How to find the GCF of 1637 and 1649?

We will first find the prime factorization of 1637 and 1649. After we will calculate the factors of 1637 and 1649 and find the biggest common factor number .

Step-1: Prime Factorization of 1637

Prime factors of 1637 are 1637. Prime factorization of 1637 in exponential form is:

1637 = 1637¹

Step-2: Prime Factorization of 1649

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

1649 = 17¹ × 97¹

Step-3: Factors of 1637

List of positive integer factors of 1637 that divides 1637 without a remainder.

Step-4: Factors of 1649

List of positive integer factors of 1649 that divides 1637 without a remainder.

1, 17, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1637 and 1649. The biggest common factor number is the GCF number.
So the greatest common factor 1637 and 1649 is 1.

Also check out the Least Common Multiple of 1637 and 1649