What is the Greatest Common Factor of 29475 and 29490?

Greatest common factor (GCF) of 29475 and 29490 is 15.

GCF(29475,29490) = 15

We will now calculate the prime factors of 29475 and 29490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29475 and 29490.

How to find the GCF of 29475 and 29490?

We will first find the prime factorization of 29475 and 29490. After we will calculate the factors of 29475 and 29490 and find the biggest common factor number .

Step-1: Prime Factorization of 29475

Prime factors of 29475 are 3, 5, 131. Prime factorization of 29475 in exponential form is:

29475 = 3² × 5² × 131¹

Step-2: Prime Factorization of 29490

Prime factors of 29490 are 2, 3, 5, 983. Prime factorization of 29490 in exponential form is:

29490 = 2¹ × 3¹ × 5¹ × 983¹

Step-3: Factors of 29475

List of positive integer factors of 29475 that divides 29475 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 131, 225, 393, 655, 1179, 1965, 3275, 5895, 9825

Step-4: Factors of 29490

List of positive integer factors of 29490 that divides 29475 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 983, 1966, 2949, 4915, 5898, 9830, 14745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29475 and 29490. The biggest common factor number is the GCF number.
So the greatest common factor 29475 and 29490 is 15.

Also check out the Least Common Multiple of 29475 and 29490