What is the Greatest Common Factor of 1702 and 1712?

Greatest common factor (GCF) of 1702 and 1712 is 2.

GCF(1702,1712) = 2

We will now calculate the prime factors of 1702 and 1712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1702 and 1712.

How to find the GCF of 1702 and 1712?

We will first find the prime factorization of 1702 and 1712. After we will calculate the factors of 1702 and 1712 and find the biggest common factor number .

Step-1: Prime Factorization of 1702

Prime factors of 1702 are 2, 23, 37. Prime factorization of 1702 in exponential form is:

1702 = 2¹ × 23¹ × 37¹

Step-2: Prime Factorization of 1712

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

1712 = 2⁴ × 107¹

Step-3: Factors of 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1, 2, 23, 37, 46, 74, 851

Step-4: Factors of 1712

List of positive integer factors of 1712 that divides 1702 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1702 and 1712. The biggest common factor number is the GCF number.
So the greatest common factor 1702 and 1712 is 2.

Also check out the Least Common Multiple of 1702 and 1712