What is the Greatest Common Factor of 61835 and 61848?

Greatest common factor (GCF) of 61835 and 61848 is 1.

GCF(61835,61848) = 1

We will now calculate the prime factors of 61835 and 61848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61835 and 61848.

How to find the GCF of 61835 and 61848?

We will first find the prime factorization of 61835 and 61848. After we will calculate the factors of 61835 and 61848 and find the biggest common factor number .

Step-1: Prime Factorization of 61835

Prime factors of 61835 are 5, 83, 149. Prime factorization of 61835 in exponential form is:

61835 = 5¹ × 83¹ × 149¹

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 61835

List of positive integer factors of 61835 that divides 61835 without a remainder.

1, 5, 83, 149, 415, 745, 12367

Step-4: Factors of 61848

List of positive integer factors of 61848 that divides 61835 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 61835 and 61848. The biggest common factor number is the GCF number.
So the greatest common factor 61835 and 61848 is 1.

Also check out the Least Common Multiple of 61835 and 61848