What is the Greatest Common Factor of 29248 and 29265?

Greatest common factor (GCF) of 29248 and 29265 is 1.

GCF(29248,29265) = 1

We will now calculate the prime factors of 29248 and 29265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29248 and 29265.

How to find the GCF of 29248 and 29265?

We will first find the prime factorization of 29248 and 29265. After we will calculate the factors of 29248 and 29265 and find the biggest common factor number .

Step-1: Prime Factorization of 29248

Prime factors of 29248 are 2, 457. Prime factorization of 29248 in exponential form is:

29248 = 2⁶ × 457¹

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 29248

List of positive integer factors of 29248 that divides 29248 without a remainder.

1, 2, 4, 8, 16, 32, 64, 457, 914, 1828, 3656, 7312, 14624

Step-4: Factors of 29265

List of positive integer factors of 29265 that divides 29248 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29248 and 29265. The biggest common factor number is the GCF number.
So the greatest common factor 29248 and 29265 is 1.

Also check out the Least Common Multiple of 29248 and 29265