What is the Greatest Common Factor of 61286 and 61296?

Greatest common factor (GCF) of 61286 and 61296 is 2.

GCF(61286,61296) = 2

We will now calculate the prime factors of 61286 and 61296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61286 and 61296.

How to find the GCF of 61286 and 61296?

We will first find the prime factorization of 61286 and 61296. After we will calculate the factors of 61286 and 61296 and find the biggest common factor number .

Step-1: Prime Factorization of 61286

Prime factors of 61286 are 2, 30643. Prime factorization of 61286 in exponential form is:

61286 = 2¹ × 30643¹

Step-2: Prime Factorization of 61296

Prime factors of 61296 are 2, 3, 1277. Prime factorization of 61296 in exponential form is:

61296 = 2⁴ × 3¹ × 1277¹

Step-3: Factors of 61286

List of positive integer factors of 61286 that divides 61286 without a remainder.

1, 2, 30643

Step-4: Factors of 61296

List of positive integer factors of 61296 that divides 61286 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1277, 2554, 3831, 5108, 7662, 10216, 15324, 20432, 30648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61286 and 61296. The biggest common factor number is the GCF number.
So the greatest common factor 61286 and 61296 is 2.

Also check out the Least Common Multiple of 61286 and 61296