What is the Greatest Common Factor of 61214 and 61218?

Greatest common factor (GCF) of 61214 and 61218 is 2.

GCF(61214,61218) = 2

We will now calculate the prime factors of 61214 and 61218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61214 and 61218.

How to find the GCF of 61214 and 61218?

We will first find the prime factorization of 61214 and 61218. After we will calculate the factors of 61214 and 61218 and find the biggest common factor number .

Step-1: Prime Factorization of 61214

Prime factors of 61214 are 2, 127, 241. Prime factorization of 61214 in exponential form is:

61214 = 2¹ × 127¹ × 241¹

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 61214

List of positive integer factors of 61214 that divides 61214 without a remainder.

1, 2, 127, 241, 254, 482, 30607

Step-4: Factors of 61218

List of positive integer factors of 61218 that divides 61214 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 61214 and 61218. The biggest common factor number is the GCF number.
So the greatest common factor 61214 and 61218 is 2.

Also check out the Least Common Multiple of 61214 and 61218