What is the Greatest Common Factor of 61228 and 61238?

Greatest common factor (GCF) of 61228 and 61238 is 2.

GCF(61228,61238) = 2

We will now calculate the prime factors of 61228 and 61238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61228 and 61238.

How to find the GCF of 61228 and 61238?

We will first find the prime factorization of 61228 and 61238. After we will calculate the factors of 61228 and 61238 and find the biggest common factor number .

Step-1: Prime Factorization of 61228

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

61228 = 2² × 15307¹

Step-2: Prime Factorization of 61238

Prime factors of 61238 are 2, 67, 457. Prime factorization of 61238 in exponential form is:

61238 = 2¹ × 67¹ × 457¹

Step-3: Factors of 61228

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

1, 2, 4, 15307, 30614

Step-4: Factors of 61238

List of positive integer factors of 61238 that divides 61228 without a remainder.

1, 2, 67, 134, 457, 914, 30619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61228 and 61238. The biggest common factor number is the GCF number.
So the greatest common factor 61228 and 61238 is 2.

Also check out the Least Common Multiple of 61228 and 61238