What is the Greatest Common Factor of 1396 and 1402?

Greatest common factor (GCF) of 1396 and 1402 is 2.

GCF(1396,1402) = 2

We will now calculate the prime factors of 1396 and 1402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1396 and 1402.

How to find the GCF of 1396 and 1402?

We will first find the prime factorization of 1396 and 1402. After we will calculate the factors of 1396 and 1402 and find the biggest common factor number .

Step-1: Prime Factorization of 1396

Prime factors of 1396 are 2, 349. Prime factorization of 1396 in exponential form is:

1396 = 2² × 349¹

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 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1, 2, 4, 349, 698

Step-4: Factors of 1402

List of positive integer factors of 1402 that divides 1396 without a remainder.

1, 2, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1396 and 1402. The biggest common factor number is the GCF number.
So the greatest common factor 1396 and 1402 is 2.

Also check out the Least Common Multiple of 1396 and 1402