What is the Greatest Common Factor of 1382 and 1402?

Greatest common factor (GCF) of 1382 and 1402 is 2.

GCF(1382,1402) = 2

We will now calculate the prime factors of 1382 and 1402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1382 and 1402.

How to find the GCF of 1382 and 1402?

We will first find the prime factorization of 1382 and 1402. After we will calculate the factors of 1382 and 1402 and find the biggest common factor number .

Step-1: Prime Factorization of 1382

Prime factors of 1382 are 2, 691. Prime factorization of 1382 in exponential form is:

1382 = 2¹ × 691¹

Step-2: Prime Factorization of 1402

Prime factors of 1402 are 2, 701. Prime factorization of 1402 in exponential form is:

1402 = 2¹ × 701¹

Step-3: Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1, 2, 691

Step-4: Factors of 1402

List of positive integer factors of 1402 that divides 1382 without a remainder.

1, 2, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1382 and 1402. The biggest common factor number is the GCF number.
So the greatest common factor 1382 and 1402 is 2.

Also check out the Least Common Multiple of 1382 and 1402