What is the Greatest Common Factor of 61145 and 61150?

Greatest common factor (GCF) of 61145 and 61150 is 5.

GCF(61145,61150) = 5

We will now calculate the prime factors of 61145 and 61150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61145 and 61150.

How to find the GCF of 61145 and 61150?

We will first find the prime factorization of 61145 and 61150. After we will calculate the factors of 61145 and 61150 and find the biggest common factor number .

Step-1: Prime Factorization of 61145

Prime factors of 61145 are 5, 7, 1747. Prime factorization of 61145 in exponential form is:

61145 = 5¹ × 7¹ × 1747¹

Step-2: Prime Factorization of 61150

Prime factors of 61150 are 2, 5, 1223. Prime factorization of 61150 in exponential form is:

61150 = 2¹ × 5² × 1223¹

Step-3: Factors of 61145

List of positive integer factors of 61145 that divides 61145 without a remainder.

1, 5, 7, 35, 1747, 8735, 12229

Step-4: Factors of 61150

List of positive integer factors of 61150 that divides 61145 without a remainder.

1, 2, 5, 10, 25, 50, 1223, 2446, 6115, 12230, 30575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61145 and 61150. The biggest common factor number is the GCF number.
So the greatest common factor 61145 and 61150 is 5.

Also check out the Least Common Multiple of 61145 and 61150