What is the Greatest Common Factor of 61075 and 61085?

Greatest common factor (GCF) of 61075 and 61085 is 5.

GCF(61075,61085) = 5

We will now calculate the prime factors of 61075 and 61085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61075 and 61085.

How to find the GCF of 61075 and 61085?

We will first find the prime factorization of 61075 and 61085. After we will calculate the factors of 61075 and 61085 and find the biggest common factor number .

Step-1: Prime Factorization of 61075

Prime factors of 61075 are 5, 7, 349. Prime factorization of 61075 in exponential form is:

61075 = 5² × 7¹ × 349¹

Step-2: Prime Factorization of 61085

Prime factors of 61085 are 5, 19, 643. Prime factorization of 61085 in exponential form is:

61085 = 5¹ × 19¹ × 643¹

Step-3: Factors of 61075

List of positive integer factors of 61075 that divides 61075 without a remainder.

1, 5, 7, 25, 35, 175, 349, 1745, 2443, 8725, 12215

Step-4: Factors of 61085

List of positive integer factors of 61085 that divides 61075 without a remainder.

1, 5, 19, 95, 643, 3215, 12217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61075 and 61085. The biggest common factor number is the GCF number.
So the greatest common factor 61075 and 61085 is 5.

Also check out the Least Common Multiple of 61075 and 61085