What is the Greatest Common Factor of 61122 and 61130?

Greatest common factor (GCF) of 61122 and 61130 is 2.

GCF(61122,61130) = 2

We will now calculate the prime factors of 61122 and 61130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61122 and 61130.

How to find the GCF of 61122 and 61130?

We will first find the prime factorization of 61122 and 61130. After we will calculate the factors of 61122 and 61130 and find the biggest common factor number .

Step-1: Prime Factorization of 61122

Prime factors of 61122 are 2, 3, 61, 167. Prime factorization of 61122 in exponential form is:

61122 = 2¹ × 3¹ × 61¹ × 167¹

Step-2: Prime Factorization of 61130

Prime factors of 61130 are 2, 5, 6113. Prime factorization of 61130 in exponential form is:

61130 = 2¹ × 5¹ × 6113¹

Step-3: Factors of 61122

List of positive integer factors of 61122 that divides 61122 without a remainder.

1, 2, 3, 6, 61, 122, 167, 183, 334, 366, 501, 1002, 10187, 20374, 30561

Step-4: Factors of 61130

List of positive integer factors of 61130 that divides 61122 without a remainder.

1, 2, 5, 10, 6113, 12226, 30565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61122 and 61130. The biggest common factor number is the GCF number.
So the greatest common factor 61122 and 61130 is 2.

Also check out the Least Common Multiple of 61122 and 61130