What is the Greatest Common Factor of 65229 and 65248?

Greatest common factor (GCF) of 65229 and 65248 is 1.

GCF(65229,65248) = 1

We will now calculate the prime factors of 65229 and 65248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65229 and 65248.

How to find the GCF of 65229 and 65248?

We will first find the prime factorization of 65229 and 65248. After we will calculate the factors of 65229 and 65248 and find the biggest common factor number .

Step-1: Prime Factorization of 65229

Prime factors of 65229 are 3, 17, 1279. Prime factorization of 65229 in exponential form is:

65229 = 3¹ × 17¹ × 1279¹

Step-2: Prime Factorization of 65248

Prime factors of 65248 are 2, 2039. Prime factorization of 65248 in exponential form is:

65248 = 2⁵ × 2039¹

Step-3: Factors of 65229

List of positive integer factors of 65229 that divides 65229 without a remainder.

1, 3, 17, 51, 1279, 3837, 21743

Step-4: Factors of 65248

List of positive integer factors of 65248 that divides 65229 without a remainder.

1, 2, 4, 8, 16, 32, 2039, 4078, 8156, 16312, 32624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65229 and 65248. The biggest common factor number is the GCF number.
So the greatest common factor 65229 and 65248 is 1.

Also check out the Least Common Multiple of 65229 and 65248