What is the Greatest Common Factor of 1610 and 1630?

Greatest common factor (GCF) of 1610 and 1630 is 10.

GCF(1610,1630) = 10

We will now calculate the prime factors of 1610 and 1630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1610 and 1630.

How to find the GCF of 1610 and 1630?

We will first find the prime factorization of 1610 and 1630. After we will calculate the factors of 1610 and 1630 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 1630

Prime factors of 1630 are 2, 5, 163. Prime factorization of 1630 in exponential form is:

1630 = 2¹ × 5¹ × 163¹

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 1630

List of positive integer factors of 1630 that divides 1610 without a remainder.

1, 2, 5, 10, 163, 326, 815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1610 and 1630. The biggest common factor number is the GCF number.
So the greatest common factor 1610 and 1630 is 10.

Also check out the Least Common Multiple of 1610 and 1630