What is the Greatest Common Factor of 61831 and 61848?

Greatest common factor (GCF) of 61831 and 61848 is 1.

GCF(61831,61848) = 1

We will now calculate the prime factors of 61831 and 61848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61831 and 61848.

How to find the GCF of 61831 and 61848?

We will first find the prime factorization of 61831 and 61848. After we will calculate the factors of 61831 and 61848 and find the biggest common factor number .

Step-1: Prime Factorization of 61831

Prime factors of 61831 are 7, 11, 73. Prime factorization of 61831 in exponential form is:

61831 = 7¹ × 11² × 73¹

Step-2: Prime Factorization of 61848

Prime factors of 61848 are 2, 3, 859. Prime factorization of 61848 in exponential form is:

61848 = 2³ × 3² × 859¹

Step-3: Factors of 61831

List of positive integer factors of 61831 that divides 61831 without a remainder.

1, 7, 11, 73, 77, 121, 511, 803, 847, 5621, 8833

Step-4: Factors of 61848

List of positive integer factors of 61848 that divides 61831 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 859, 1718, 2577, 3436, 5154, 6872, 7731, 10308, 15462, 20616, 30924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61831 and 61848. The biggest common factor number is the GCF number.
So the greatest common factor 61831 and 61848 is 1.

Also check out the Least Common Multiple of 61831 and 61848