What is the Greatest Common Factor of 29130 and 29135?

Greatest common factor (GCF) of 29130 and 29135 is 5.

GCF(29130,29135) = 5

We will now calculate the prime factors of 29130 and 29135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29130 and 29135.

How to find the GCF of 29130 and 29135?

We will first find the prime factorization of 29130 and 29135. After we will calculate the factors of 29130 and 29135 and find the biggest common factor number .

Step-1: Prime Factorization of 29130

Prime factors of 29130 are 2, 3, 5, 971. Prime factorization of 29130 in exponential form is:

29130 = 2¹ × 3¹ × 5¹ × 971¹

Step-2: Prime Factorization of 29135

Prime factors of 29135 are 5, 5827. Prime factorization of 29135 in exponential form is:

29135 = 5¹ × 5827¹

Step-3: Factors of 29130

List of positive integer factors of 29130 that divides 29130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 971, 1942, 2913, 4855, 5826, 9710, 14565

Step-4: Factors of 29135

List of positive integer factors of 29135 that divides 29130 without a remainder.

1, 5, 5827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29130 and 29135. The biggest common factor number is the GCF number.
So the greatest common factor 29130 and 29135 is 5.

Also check out the Least Common Multiple of 29130 and 29135