What is the Greatest Common Factor of 1692 and 1706?

Greatest common factor (GCF) of 1692 and 1706 is 2.

GCF(1692,1706) = 2

We will now calculate the prime factors of 1692 and 1706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1692 and 1706.

How to find the GCF of 1692 and 1706?

We will first find the prime factorization of 1692 and 1706. After we will calculate the factors of 1692 and 1706 and find the biggest common factor number .

Step-1: Prime Factorization of 1692

Prime factors of 1692 are 2, 3, 47. Prime factorization of 1692 in exponential form is:

1692 = 2² × 3² × 47¹

Step-2: Prime Factorization of 1706

Prime factors of 1706 are 2, 853. Prime factorization of 1706 in exponential form is:

1706 = 2¹ × 853¹

Step-3: Factors of 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846

Step-4: Factors of 1706

List of positive integer factors of 1706 that divides 1692 without a remainder.

1, 2, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1692 and 1706. The biggest common factor number is the GCF number.
So the greatest common factor 1692 and 1706 is 2.

Also check out the Least Common Multiple of 1692 and 1706