What is the Greatest Common Factor of 61730 and 61745?

Greatest common factor (GCF) of 61730 and 61745 is 5.

GCF(61730,61745) = 5

We will now calculate the prime factors of 61730 and 61745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61730 and 61745.

How to find the GCF of 61730 and 61745?

We will first find the prime factorization of 61730 and 61745. After we will calculate the factors of 61730 and 61745 and find the biggest common factor number .

Step-1: Prime Factorization of 61730

Prime factors of 61730 are 2, 5, 6173. Prime factorization of 61730 in exponential form is:

61730 = 2¹ × 5¹ × 6173¹

Step-2: Prime Factorization of 61745

Prime factors of 61745 are 5, 53, 233. Prime factorization of 61745 in exponential form is:

61745 = 5¹ × 53¹ × 233¹

Step-3: Factors of 61730

List of positive integer factors of 61730 that divides 61730 without a remainder.

1, 2, 5, 10, 6173, 12346, 30865

Step-4: Factors of 61745

List of positive integer factors of 61745 that divides 61730 without a remainder.

1, 5, 53, 233, 265, 1165, 12349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61730 and 61745. The biggest common factor number is the GCF number.
So the greatest common factor 61730 and 61745 is 5.

Also check out the Least Common Multiple of 61730 and 61745