What is the Greatest Common Factor of 29185 and 29190?

Greatest common factor (GCF) of 29185 and 29190 is 5.

GCF(29185,29190) = 5

We will now calculate the prime factors of 29185 and 29190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29185 and 29190.

How to find the GCF of 29185 and 29190?

We will first find the prime factorization of 29185 and 29190. After we will calculate the factors of 29185 and 29190 and find the biggest common factor number .

Step-1: Prime Factorization of 29185

Prime factors of 29185 are 5, 13, 449. Prime factorization of 29185 in exponential form is:

29185 = 5¹ × 13¹ × 449¹

Step-2: 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-3: Factors of 29185

List of positive integer factors of 29185 that divides 29185 without a remainder.

1, 5, 13, 65, 449, 2245, 5837

Step-4: Factors of 29190

List of positive integer factors of 29190 that divides 29185 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29185 and 29190. The biggest common factor number is the GCF number.
So the greatest common factor 29185 and 29190 is 5.

Also check out the Least Common Multiple of 29185 and 29190