What is the Greatest Common Factor of 61850 and 61863?

Greatest common factor (GCF) of 61850 and 61863 is 1.

GCF(61850,61863) = 1

We will now calculate the prime factors of 61850 and 61863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61850 and 61863.

How to find the GCF of 61850 and 61863?

We will first find the prime factorization of 61850 and 61863. After we will calculate the factors of 61850 and 61863 and find the biggest common factor number .

Step-1: Prime Factorization of 61850

Prime factors of 61850 are 2, 5, 1237. Prime factorization of 61850 in exponential form is:

61850 = 2¹ × 5² × 1237¹

Step-2: Prime Factorization of 61863

Prime factors of 61863 are 3, 17, 1213. Prime factorization of 61863 in exponential form is:

61863 = 3¹ × 17¹ × 1213¹

Step-3: Factors of 61850

List of positive integer factors of 61850 that divides 61850 without a remainder.

1, 2, 5, 10, 25, 50, 1237, 2474, 6185, 12370, 30925

Step-4: Factors of 61863

List of positive integer factors of 61863 that divides 61850 without a remainder.

1, 3, 17, 51, 1213, 3639, 20621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61850 and 61863. The biggest common factor number is the GCF number.
So the greatest common factor 61850 and 61863 is 1.

Also check out the Least Common Multiple of 61850 and 61863