What is the Greatest Common Factor of 65273 and 65292?

Greatest common factor (GCF) of 65273 and 65292 is 1.

GCF(65273,65292) = 1

We will now calculate the prime factors of 65273 and 65292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65273 and 65292.

How to find the GCF of 65273 and 65292?

We will first find the prime factorization of 65273 and 65292. After we will calculate the factors of 65273 and 65292 and find the biggest common factor number .

Step-1: Prime Factorization of 65273

Prime factors of 65273 are 13, 5021. Prime factorization of 65273 in exponential form is:

65273 = 13¹ × 5021¹

Step-2: Prime Factorization of 65292

Prime factors of 65292 are 2, 3, 5441. Prime factorization of 65292 in exponential form is:

65292 = 2² × 3¹ × 5441¹

Step-3: Factors of 65273

List of positive integer factors of 65273 that divides 65273 without a remainder.

1, 13, 5021

Step-4: Factors of 65292

List of positive integer factors of 65292 that divides 65273 without a remainder.

1, 2, 3, 4, 6, 12, 5441, 10882, 16323, 21764, 32646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65273 and 65292. The biggest common factor number is the GCF number.
So the greatest common factor 65273 and 65292 is 1.

Also check out the Least Common Multiple of 65273 and 65292