What is the Greatest Common Factor of 1490 and 1499?

Greatest common factor (GCF) of 1490 and 1499 is 1.

GCF(1490,1499) = 1

We will now calculate the prime factors of 1490 and 1499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1490 and 1499.

How to find the GCF of 1490 and 1499?

We will first find the prime factorization of 1490 and 1499. After we will calculate the factors of 1490 and 1499 and find the biggest common factor number .

Step-1: Prime Factorization of 1490

Prime factors of 1490 are 2, 5, 149. Prime factorization of 1490 in exponential form is:

1490 = 2¹ × 5¹ × 149¹

Step-2: Prime Factorization of 1499

Prime factors of 1499 are 1499. Prime factorization of 1499 in exponential form is:

1499 = 1499¹

Step-3: Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1, 2, 5, 10, 149, 298, 745

Step-4: Factors of 1499

List of positive integer factors of 1499 that divides 1490 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1490 and 1499. The biggest common factor number is the GCF number.
So the greatest common factor 1490 and 1499 is 1.

Also check out the Least Common Multiple of 1490 and 1499