What is the Greatest Common Factor of 1624 and 1642?

Greatest common factor (GCF) of 1624 and 1642 is 2.

GCF(1624,1642) = 2

We will now calculate the prime factors of 1624 and 1642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1624 and 1642.

How to find the GCF of 1624 and 1642?

We will first find the prime factorization of 1624 and 1642. After we will calculate the factors of 1624 and 1642 and find the biggest common factor number .

Step-1: Prime Factorization of 1624

Prime factors of 1624 are 2, 7, 29. Prime factorization of 1624 in exponential form is:

1624 = 2³ × 7¹ × 29¹

Step-2: Prime Factorization of 1642

Prime factors of 1642 are 2, 821. Prime factorization of 1642 in exponential form is:

1642 = 2¹ × 821¹

Step-3: Factors of 1624

List of positive integer factors of 1624 that divides 1624 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812

Step-4: Factors of 1642

List of positive integer factors of 1642 that divides 1624 without a remainder.

1, 2, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1624 and 1642. The biggest common factor number is the GCF number.
So the greatest common factor 1624 and 1642 is 2.

Also check out the Least Common Multiple of 1624 and 1642