What is the Greatest Common Factor of 61730 and 61735?

Greatest common factor (GCF) of 61730 and 61735 is 5.

GCF(61730,61735) = 5

We will now calculate the prime factors of 61730 and 61735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61730 and 61735.

How to find the GCF of 61730 and 61735?

We will first find the prime factorization of 61730 and 61735. After we will calculate the factors of 61730 and 61735 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 61735

Prime factors of 61735 are 5, 12347. Prime factorization of 61735 in exponential form is:

61735 = 5¹ × 12347¹

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 61735

List of positive integer factors of 61735 that divides 61730 without a remainder.

1, 5, 12347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61730 and 61735. The biggest common factor number is the GCF number.
So the greatest common factor 61730 and 61735 is 5.

Also check out the Least Common Multiple of 61730 and 61735