What is the Greatest Common Factor of 29190 and 29205?

Greatest common factor (GCF) of 29190 and 29205 is 15.

GCF(29190,29205) = 15

We will now calculate the prime factors of 29190 and 29205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29190 and 29205.

How to find the GCF of 29190 and 29205?

We will first find the prime factorization of 29190 and 29205. After we will calculate the factors of 29190 and 29205 and find the biggest common factor number .

Step-1: Prime Factorization of 29190

Prime factors of 29190 are 2, 3, 5, 7, 139. Prime factorization of 29190 in exponential form is:

29190 = 2¹ × 3¹ × 5¹ × 7¹ × 139¹

Step-2: Prime Factorization of 29205

Prime factors of 29205 are 3, 5, 11, 59. Prime factorization of 29205 in exponential form is:

29205 = 3² × 5¹ × 11¹ × 59¹

Step-3: Factors of 29190

List of positive integer factors of 29190 that divides 29190 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 139, 210, 278, 417, 695, 834, 973, 1390, 1946, 2085, 2919, 4170, 4865, 5838, 9730, 14595

Step-4: Factors of 29205

List of positive integer factors of 29205 that divides 29190 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 59, 99, 165, 177, 295, 495, 531, 649, 885, 1947, 2655, 3245, 5841, 9735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29190 and 29205. The biggest common factor number is the GCF number.
So the greatest common factor 29190 and 29205 is 15.

Also check out the Least Common Multiple of 29190 and 29205