What is the Greatest Common Factor of 61075 and 61082?

Greatest common factor (GCF) of 61075 and 61082 is 7.

GCF(61075,61082) = 7

We will now calculate the prime factors of 61075 and 61082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61075 and 61082.

How to find the GCF of 61075 and 61082?

We will first find the prime factorization of 61075 and 61082. After we will calculate the factors of 61075 and 61082 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 61082

Prime factors of 61082 are 2, 7, 4363. Prime factorization of 61082 in exponential form is:

61082 = 2¹ × 7¹ × 4363¹

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 61082

List of positive integer factors of 61082 that divides 61075 without a remainder.

1, 2, 7, 14, 4363, 8726, 30541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61075 and 61082. The biggest common factor number is the GCF number.
So the greatest common factor 61075 and 61082 is 7.

Also check out the Least Common Multiple of 61075 and 61082