What is the Greatest Common Factor of 61218 and 61237?

Greatest common factor (GCF) of 61218 and 61237 is 19.

GCF(61218,61237) = 19

We will now calculate the prime factors of 61218 and 61237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61218 and 61237.

How to find the GCF of 61218 and 61237?

We will first find the prime factorization of 61218 and 61237. After we will calculate the factors of 61218 and 61237 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61237

Prime factors of 61237 are 11, 19, 293. Prime factorization of 61237 in exponential form is:

61237 = 11¹ × 19¹ × 293¹

Step-3: Factors of 61218

List of positive integer factors of 61218 that divides 61218 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

Step-4: Factors of 61237

List of positive integer factors of 61237 that divides 61218 without a remainder.

1, 11, 19, 209, 293, 3223, 5567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61218 and 61237. The biggest common factor number is the GCF number.
So the greatest common factor 61218 and 61237 is 19.

Also check out the Least Common Multiple of 61218 and 61237