What is the Greatest Common Factor of 1628 and 1648?

Greatest common factor (GCF) of 1628 and 1648 is 4.

GCF(1628,1648) = 4

We will now calculate the prime factors of 1628 and 1648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1628 and 1648.

How to find the GCF of 1628 and 1648?

We will first find the prime factorization of 1628 and 1648. After we will calculate the factors of 1628 and 1648 and find the biggest common factor number .

Step-1: Prime Factorization of 1628

Prime factors of 1628 are 2, 11, 37. Prime factorization of 1628 in exponential form is:

1628 = 2² × 11¹ × 37¹

Step-2: Prime Factorization of 1648

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

1648 = 2⁴ × 103¹

Step-3: Factors of 1628

List of positive integer factors of 1628 that divides 1628 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814

Step-4: Factors of 1648

List of positive integer factors of 1648 that divides 1628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1628 and 1648. The biggest common factor number is the GCF number.
So the greatest common factor 1628 and 1648 is 4.

Also check out the Least Common Multiple of 1628 and 1648