What is the Greatest Common Factor of 1396 and 1407?

Greatest common factor (GCF) of 1396 and 1407 is 1.

GCF(1396,1407) = 1

We will now calculate the prime factors of 1396 and 1407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1396 and 1407.

How to find the GCF of 1396 and 1407?

We will first find the prime factorization of 1396 and 1407. After we will calculate the factors of 1396 and 1407 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 1407

Prime factors of 1407 are 3, 7, 67. Prime factorization of 1407 in exponential form is:

1407 = 3¹ × 7¹ × 67¹

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 1407

List of positive integer factors of 1407 that divides 1396 without a remainder.

1, 3, 7, 21, 67, 201, 469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1396 and 1407. The biggest common factor number is the GCF number.
So the greatest common factor 1396 and 1407 is 1.

Also check out the Least Common Multiple of 1396 and 1407