What is the Greatest Common Factor of 61287 and 61293?

Greatest common factor (GCF) of 61287 and 61293 is 3.

GCF(61287,61293) = 3

We will now calculate the prime factors of 61287 and 61293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61287 and 61293.

How to find the GCF of 61287 and 61293?

We will first find the prime factorization of 61287 and 61293. After we will calculate the factors of 61287 and 61293 and find the biggest common factor number .

Step-1: Prime Factorization of 61287

Prime factors of 61287 are 3, 31, 659. Prime factorization of 61287 in exponential form is:

61287 = 3¹ × 31¹ × 659¹

Step-2: Prime Factorization of 61293

Prime factors of 61293 are 3, 20431. Prime factorization of 61293 in exponential form is:

61293 = 3¹ × 20431¹

Step-3: Factors of 61287

List of positive integer factors of 61287 that divides 61287 without a remainder.

1, 3, 31, 93, 659, 1977, 20429

Step-4: Factors of 61293

List of positive integer factors of 61293 that divides 61287 without a remainder.

1, 3, 20431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61287 and 61293. The biggest common factor number is the GCF number.
So the greatest common factor 61287 and 61293 is 3.

Also check out the Least Common Multiple of 61287 and 61293