What is the Greatest Common Factor of 61198 and 61218?

Greatest common factor (GCF) of 61198 and 61218 is 2.

GCF(61198,61218) = 2

We will now calculate the prime factors of 61198 and 61218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61198 and 61218.

How to find the GCF of 61198 and 61218?

We will first find the prime factorization of 61198 and 61218. After we will calculate the factors of 61198 and 61218 and find the biggest common factor number .

Step-1: Prime Factorization of 61198

Prime factors of 61198 are 2, 37, 827. Prime factorization of 61198 in exponential form is:

61198 = 2¹ × 37¹ × 827¹

Step-2: Prime Factorization of 61218

Prime factors of 61218 are 2, 3, 19, 179. Prime factorization of 61218 in exponential form is:

61218 = 2¹ × 3² × 19¹ × 179¹

Step-3: Factors of 61198

List of positive integer factors of 61198 that divides 61198 without a remainder.

1, 2, 37, 74, 827, 1654, 30599

Step-4: Factors of 61218

List of positive integer factors of 61218 that divides 61198 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 179, 342, 358, 537, 1074, 1611, 3222, 3401, 6802, 10203, 20406, 30609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61198 and 61218. The biggest common factor number is the GCF number.
So the greatest common factor 61198 and 61218 is 2.

Also check out the Least Common Multiple of 61198 and 61218