What is the Greatest Common Factor of 1387 and 1406?

Greatest common factor (GCF) of 1387 and 1406 is 19.

GCF(1387,1406) = 19

We will now calculate the prime factors of 1387 and 1406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1387 and 1406.

How to find the GCF of 1387 and 1406?

We will first find the prime factorization of 1387 and 1406. After we will calculate the factors of 1387 and 1406 and find the biggest common factor number .

Step-1: Prime Factorization of 1387

Prime factors of 1387 are 19, 73. Prime factorization of 1387 in exponential form is:

1387 = 19¹ × 73¹

Step-2: Prime Factorization of 1406

Prime factors of 1406 are 2, 19, 37. Prime factorization of 1406 in exponential form is:

1406 = 2¹ × 19¹ × 37¹

Step-3: Factors of 1387

List of positive integer factors of 1387 that divides 1387 without a remainder.

1, 19, 73

Step-4: Factors of 1406

List of positive integer factors of 1406 that divides 1387 without a remainder.

1, 2, 19, 37, 38, 74, 703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1387 and 1406. The biggest common factor number is the GCF number.
So the greatest common factor 1387 and 1406 is 19.

Also check out the Least Common Multiple of 1387 and 1406