What is the Greatest Common Factor of 61216 and 61223?

Greatest common factor (GCF) of 61216 and 61223 is 1.

GCF(61216,61223) = 1

We will now calculate the prime factors of 61216 and 61223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61216 and 61223.

How to find the GCF of 61216 and 61223?

We will first find the prime factorization of 61216 and 61223. After we will calculate the factors of 61216 and 61223 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 61223

Prime factors of 61223 are 61223. Prime factorization of 61223 in exponential form is:

61223 = 61223¹

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 61223

List of positive integer factors of 61223 that divides 61216 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61216 and 61223. The biggest common factor number is the GCF number.
So the greatest common factor 61216 and 61223 is 1.

Also check out the Least Common Multiple of 61216 and 61223