What is the Greatest Common Factor of 1712 and 1732?

Greatest common factor (GCF) of 1712 and 1732 is 4.

GCF(1712,1732) = 4

We will now calculate the prime factors of 1712 and 1732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1712 and 1732.

How to find the GCF of 1712 and 1732?

We will first find the prime factorization of 1712 and 1732. After we will calculate the factors of 1712 and 1732 and find the biggest common factor number .

Step-1: Prime Factorization of 1712

Prime factors of 1712 are 2, 107. Prime factorization of 1712 in exponential form is:

1712 = 2⁴ × 107¹

Step-2: Prime Factorization of 1732

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

1732 = 2² × 433¹

Step-3: Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1, 2, 4, 8, 16, 107, 214, 428, 856

Step-4: Factors of 1732

List of positive integer factors of 1732 that divides 1712 without a remainder.

1, 2, 4, 433, 866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1712 and 1732. The biggest common factor number is the GCF number.
So the greatest common factor 1712 and 1732 is 4.

Also check out the Least Common Multiple of 1712 and 1732