What is the Greatest Common Factor of 1475 and 1490?

Greatest common factor (GCF) of 1475 and 1490 is 5.

GCF(1475,1490) = 5

We will now calculate the prime factors of 1475 and 1490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1475 and 1490.

How to find the GCF of 1475 and 1490?

We will first find the prime factorization of 1475 and 1490. After we will calculate the factors of 1475 and 1490 and find the biggest common factor number .

Step-1: Prime Factorization of 1475

Prime factors of 1475 are 5, 59. Prime factorization of 1475 in exponential form is:

1475 = 5² × 59¹

Step-2: 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-3: Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1, 5, 25, 59, 295

Step-4: Factors of 1490

List of positive integer factors of 1490 that divides 1475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1475 and 1490. The biggest common factor number is the GCF number.
So the greatest common factor 1475 and 1490 is 5.

Also check out the Least Common Multiple of 1475 and 1490