What is the Greatest Common Factor of 61890 and 61905?

Greatest common factor (GCF) of 61890 and 61905 is 15.

GCF(61890,61905) = 15

We will now calculate the prime factors of 61890 and 61905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61890 and 61905.

How to find the GCF of 61890 and 61905?

We will first find the prime factorization of 61890 and 61905. After we will calculate the factors of 61890 and 61905 and find the biggest common factor number .

Step-1: Prime Factorization of 61890

Prime factors of 61890 are 2, 3, 5, 2063. Prime factorization of 61890 in exponential form is:

61890 = 2¹ × 3¹ × 5¹ × 2063¹

Step-2: Prime Factorization of 61905

Prime factors of 61905 are 3, 5, 4127. Prime factorization of 61905 in exponential form is:

61905 = 3¹ × 5¹ × 4127¹

Step-3: Factors of 61890

List of positive integer factors of 61890 that divides 61890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2063, 4126, 6189, 10315, 12378, 20630, 30945

Step-4: Factors of 61905

List of positive integer factors of 61905 that divides 61890 without a remainder.

1, 3, 5, 15, 4127, 12381, 20635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61890 and 61905. The biggest common factor number is the GCF number.
So the greatest common factor 61890 and 61905 is 15.

Also check out the Least Common Multiple of 61890 and 61905