What is the Greatest Common Factor of 1676 and 1680?

Greatest common factor (GCF) of 1676 and 1680 is 4.

GCF(1676,1680) = 4

We will now calculate the prime factors of 1676 and 1680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1676 and 1680.

How to find the GCF of 1676 and 1680?

We will first find the prime factorization of 1676 and 1680. After we will calculate the factors of 1676 and 1680 and find the biggest common factor number .

Step-1: Prime Factorization of 1676

Prime factors of 1676 are 2, 419. Prime factorization of 1676 in exponential form is:

1676 = 2² × 419¹

Step-2: Prime Factorization of 1680

Prime factors of 1680 are 2, 3, 5, 7. Prime factorization of 1680 in exponential form is:

1680 = 2⁴ × 3¹ × 5¹ × 7¹

Step-3: Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1, 2, 4, 419, 838

Step-4: Factors of 1680

List of positive integer factors of 1680 that divides 1676 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1676 and 1680. The biggest common factor number is the GCF number.
So the greatest common factor 1676 and 1680 is 4.

Also check out the Least Common Multiple of 1676 and 1680