What is the Greatest Common Factor of 1610 and 1624?

Greatest common factor (GCF) of 1610 and 1624 is 14.

GCF(1610,1624) = 14

We will now calculate the prime factors of 1610 and 1624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1610 and 1624.

How to find the GCF of 1610 and 1624?

We will first find the prime factorization of 1610 and 1624. After we will calculate the factors of 1610 and 1624 and find the biggest common factor number .

Step-1: Prime Factorization of 1610

Prime factors of 1610 are 2, 5, 7, 23. Prime factorization of 1610 in exponential form is:

1610 = 2¹ × 5¹ × 7¹ × 23¹

Step-2: 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-3: Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805

Step-4: Factors of 1624

List of positive integer factors of 1624 that divides 1610 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1610 and 1624. The biggest common factor number is the GCF number.
So the greatest common factor 1610 and 1624 is 14.

Also check out the Least Common Multiple of 1610 and 1624