What is the Greatest Common Factor of 61214 and 61228?

Greatest common factor (GCF) of 61214 and 61228 is 2.

GCF(61214,61228) = 2

We will now calculate the prime factors of 61214 and 61228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61214 and 61228.

How to find the GCF of 61214 and 61228?

We will first find the prime factorization of 61214 and 61228. After we will calculate the factors of 61214 and 61228 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 61228

Prime factors of 61228 are 2, 15307. Prime factorization of 61228 in exponential form is:

61228 = 2² × 15307¹

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 61228

List of positive integer factors of 61228 that divides 61214 without a remainder.

1, 2, 4, 15307, 30614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61214 and 61228. The biggest common factor number is the GCF number.
So the greatest common factor 61214 and 61228 is 2.

Also check out the Least Common Multiple of 61214 and 61228