What is the Greatest Common Factor of 1732 and 1740?

Greatest common factor (GCF) of 1732 and 1740 is 4.

GCF(1732,1740) = 4

We will now calculate the prime factors of 1732 and 1740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1732 and 1740.

How to find the GCF of 1732 and 1740?

We will first find the prime factorization of 1732 and 1740. After we will calculate the factors of 1732 and 1740 and find the biggest common factor number .

Step-1: Prime Factorization of 1732

Prime factors of 1732 are 2, 433. Prime factorization of 1732 in exponential form is:

1732 = 2² × 433¹

Step-2: Prime Factorization of 1740

Prime factors of 1740 are 2, 3, 5, 29. Prime factorization of 1740 in exponential form is:

1740 = 2² × 3¹ × 5¹ × 29¹

Step-3: Factors of 1732

List of positive integer factors of 1732 that divides 1732 without a remainder.

1, 2, 4, 433, 866

Step-4: Factors of 1740

List of positive integer factors of 1740 that divides 1732 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1732 and 1740. The biggest common factor number is the GCF number.
So the greatest common factor 1732 and 1740 is 4.

Also check out the Least Common Multiple of 1732 and 1740