What is the Greatest Common Factor of 1648 and 1654?

Greatest common factor (GCF) of 1648 and 1654 is 2.

GCF(1648,1654) = 2

We will now calculate the prime factors of 1648 and 1654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1648 and 1654.

How to find the GCF of 1648 and 1654?

We will first find the prime factorization of 1648 and 1654. After we will calculate the factors of 1648 and 1654 and find the biggest common factor number .

Step-1: Prime Factorization of 1648

Prime factors of 1648 are 2, 103. Prime factorization of 1648 in exponential form is:

1648 = 2⁴ × 103¹

Step-2: Prime Factorization of 1654

Prime factors of 1654 are 2, 827. Prime factorization of 1654 in exponential form is:

1654 = 2¹ × 827¹

Step-3: Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1, 2, 4, 8, 16, 103, 206, 412, 824

Step-4: Factors of 1654

List of positive integer factors of 1654 that divides 1648 without a remainder.

1, 2, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1648 and 1654. The biggest common factor number is the GCF number.
So the greatest common factor 1648 and 1654 is 2.

Also check out the Least Common Multiple of 1648 and 1654