What is the Greatest Common Factor of 29275 and 29295?

Greatest common factor (GCF) of 29275 and 29295 is 5.

GCF(29275,29295) = 5

We will now calculate the prime factors of 29275 and 29295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29275 and 29295.

How to find the GCF of 29275 and 29295?

We will first find the prime factorization of 29275 and 29295. After we will calculate the factors of 29275 and 29295 and find the biggest common factor number .

Step-1: Prime Factorization of 29275

Prime factors of 29275 are 5, 1171. Prime factorization of 29275 in exponential form is:

29275 = 5² × 1171¹

Step-2: Prime Factorization of 29295

Prime factors of 29295 are 3, 5, 7, 31. Prime factorization of 29295 in exponential form is:

29295 = 3³ × 5¹ × 7¹ × 31¹

Step-3: Factors of 29275

List of positive integer factors of 29275 that divides 29275 without a remainder.

1, 5, 25, 1171, 5855

Step-4: Factors of 29295

List of positive integer factors of 29295 that divides 29275 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 31, 35, 45, 63, 93, 105, 135, 155, 189, 217, 279, 315, 465, 651, 837, 945, 1085, 1395, 1953, 3255, 4185, 5859, 9765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29275 and 29295. The biggest common factor number is the GCF number.
So the greatest common factor 29275 and 29295 is 5.

Also check out the Least Common Multiple of 29275 and 29295