What is the Greatest Common Factor of 29190 and 29195?

Greatest common factor (GCF) of 29190 and 29195 is 5.

GCF(29190,29195) = 5

We will now calculate the prime factors of 29190 and 29195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29190 and 29195.

How to find the GCF of 29190 and 29195?

We will first find the prime factorization of 29190 and 29195. After we will calculate the factors of 29190 and 29195 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 29195

Prime factors of 29195 are 5, 5839. Prime factorization of 29195 in exponential form is:

29195 = 5¹ × 5839¹

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 29195

List of positive integer factors of 29195 that divides 29190 without a remainder.

1, 5, 5839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29190 and 29195. The biggest common factor number is the GCF number.
So the greatest common factor 29190 and 29195 is 5.

Also check out the Least Common Multiple of 29190 and 29195