What is the Greatest Common Factor of 1403 and 1410?

Greatest common factor (GCF) of 1403 and 1410 is 1.

GCF(1403,1410) = 1

We will now calculate the prime factors of 1403 and 1410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1403 and 1410.

How to find the GCF of 1403 and 1410?

We will first find the prime factorization of 1403 and 1410. After we will calculate the factors of 1403 and 1410 and find the biggest common factor number .

Step-1: Prime Factorization of 1403

Prime factors of 1403 are 23, 61. Prime factorization of 1403 in exponential form is:

1403 = 23¹ × 61¹

Step-2: Prime Factorization of 1410

Prime factors of 1410 are 2, 3, 5, 47. Prime factorization of 1410 in exponential form is:

1410 = 2¹ × 3¹ × 5¹ × 47¹

Step-3: Factors of 1403

List of positive integer factors of 1403 that divides 1403 without a remainder.

1, 23, 61

Step-4: Factors of 1410

List of positive integer factors of 1410 that divides 1403 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1403 and 1410. The biggest common factor number is the GCF number.
So the greatest common factor 1403 and 1410 is 1.

Also check out the Least Common Multiple of 1403 and 1410