What is the Greatest Common Factor of 29252 and 29265?

Greatest common factor (GCF) of 29252 and 29265 is 1.

GCF(29252,29265) = 1

We will now calculate the prime factors of 29252 and 29265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29252 and 29265.

How to find the GCF of 29252 and 29265?

We will first find the prime factorization of 29252 and 29265. After we will calculate the factors of 29252 and 29265 and find the biggest common factor number .

Step-1: Prime Factorization of 29252

Prime factors of 29252 are 2, 71, 103. Prime factorization of 29252 in exponential form is:

29252 = 2² × 71¹ × 103¹

Step-2: Prime Factorization of 29265

Prime factors of 29265 are 3, 5, 1951. Prime factorization of 29265 in exponential form is:

29265 = 3¹ × 5¹ × 1951¹

Step-3: Factors of 29252

List of positive integer factors of 29252 that divides 29252 without a remainder.

1, 2, 4, 71, 103, 142, 206, 284, 412, 7313, 14626

Step-4: Factors of 29265

List of positive integer factors of 29265 that divides 29252 without a remainder.

1, 3, 5, 15, 1951, 5853, 9755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29252 and 29265. The biggest common factor number is the GCF number.
So the greatest common factor 29252 and 29265 is 1.

Also check out the Least Common Multiple of 29252 and 29265