What is the Greatest Common Factor of 61284 and 61302?

Greatest common factor (GCF) of 61284 and 61302 is 6.

GCF(61284,61302) = 6

We will now calculate the prime factors of 61284 and 61302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61284 and 61302.

How to find the GCF of 61284 and 61302?

We will first find the prime factorization of 61284 and 61302. After we will calculate the factors of 61284 and 61302 and find the biggest common factor number .

Step-1: Prime Factorization of 61284

Prime factors of 61284 are 2, 3, 5107. Prime factorization of 61284 in exponential form is:

61284 = 2² × 3¹ × 5107¹

Step-2: Prime Factorization of 61302

Prime factors of 61302 are 2, 3, 17, 601. Prime factorization of 61302 in exponential form is:

61302 = 2¹ × 3¹ × 17¹ × 601¹

Step-3: Factors of 61284

List of positive integer factors of 61284 that divides 61284 without a remainder.

1, 2, 3, 4, 6, 12, 5107, 10214, 15321, 20428, 30642

Step-4: Factors of 61302

List of positive integer factors of 61302 that divides 61284 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 601, 1202, 1803, 3606, 10217, 20434, 30651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61284 and 61302. The biggest common factor number is the GCF number.
So the greatest common factor 61284 and 61302 is 6.

Also check out the Least Common Multiple of 61284 and 61302