What is the Greatest Common Factor of 61296 and 61301?

Greatest common factor (GCF) of 61296 and 61301 is 1.

GCF(61296,61301) = 1

We will now calculate the prime factors of 61296 and 61301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61296 and 61301.

How to find the GCF of 61296 and 61301?

We will first find the prime factorization of 61296 and 61301. After we will calculate the factors of 61296 and 61301 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61301

Prime factors of 61301 are 59, 1039. Prime factorization of 61301 in exponential form is:

61301 = 59¹ × 1039¹

Step-3: Factors of 61296

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

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

Step-4: Factors of 61301

List of positive integer factors of 61301 that divides 61296 without a remainder.

1, 59, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61296 and 61301. The biggest common factor number is the GCF number.
So the greatest common factor 61296 and 61301 is 1.

Also check out the Least Common Multiple of 61296 and 61301