What is the Greatest Common Factor of 61162 and 61174?

Greatest common factor (GCF) of 61162 and 61174 is 2.

GCF(61162,61174) = 2

We will now calculate the prime factors of 61162 and 61174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61162 and 61174.

How to find the GCF of 61162 and 61174?

We will first find the prime factorization of 61162 and 61174. After we will calculate the factors of 61162 and 61174 and find the biggest common factor number .

Step-1: Prime Factorization of 61162

Prime factors of 61162 are 2, 53, 577. Prime factorization of 61162 in exponential form is:

61162 = 2¹ × 53¹ × 577¹

Step-2: Prime Factorization of 61174

Prime factors of 61174 are 2, 73, 419. Prime factorization of 61174 in exponential form is:

61174 = 2¹ × 73¹ × 419¹

Step-3: Factors of 61162

List of positive integer factors of 61162 that divides 61162 without a remainder.

1, 2, 53, 106, 577, 1154, 30581

Step-4: Factors of 61174

List of positive integer factors of 61174 that divides 61162 without a remainder.

1, 2, 73, 146, 419, 838, 30587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61162 and 61174. The biggest common factor number is the GCF number.
So the greatest common factor 61162 and 61174 is 2.

Also check out the Least Common Multiple of 61162 and 61174