What is the Greatest Common Factor of 61216 and 61227?

Greatest common factor (GCF) of 61216 and 61227 is 1.

GCF(61216,61227) = 1

We will now calculate the prime factors of 61216 and 61227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61216 and 61227.

How to find the GCF of 61216 and 61227?

We will first find the prime factorization of 61216 and 61227. After we will calculate the factors of 61216 and 61227 and find the biggest common factor number .

Step-1: Prime Factorization of 61216

Prime factors of 61216 are 2, 1913. Prime factorization of 61216 in exponential form is:

61216 = 2⁵ × 1913¹

Step-2: Prime Factorization of 61227

Prime factors of 61227 are 3, 6803. Prime factorization of 61227 in exponential form is:

61227 = 3² × 6803¹

Step-3: Factors of 61216

List of positive integer factors of 61216 that divides 61216 without a remainder.

1, 2, 4, 8, 16, 32, 1913, 3826, 7652, 15304, 30608

Step-4: Factors of 61227

List of positive integer factors of 61227 that divides 61216 without a remainder.

1, 3, 9, 6803, 20409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61216 and 61227. The biggest common factor number is the GCF number.
So the greatest common factor 61216 and 61227 is 1.

Also check out the Least Common Multiple of 61216 and 61227