What is the Greatest Common Factor of 61224 and 61243?

Greatest common factor (GCF) of 61224 and 61243 is 1.

GCF(61224,61243) = 1

We will now calculate the prime factors of 61224 and 61243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61224 and 61243.

How to find the GCF of 61224 and 61243?

We will first find the prime factorization of 61224 and 61243. After we will calculate the factors of 61224 and 61243 and find the biggest common factor number .

Step-1: Prime Factorization of 61224

Prime factors of 61224 are 2, 3, 2551. Prime factorization of 61224 in exponential form is:

61224 = 2³ × 3¹ × 2551¹

Step-2: Prime Factorization of 61243

Prime factors of 61243 are 7, 13, 673. Prime factorization of 61243 in exponential form is:

61243 = 7¹ × 13¹ × 673¹

Step-3: Factors of 61224

List of positive integer factors of 61224 that divides 61224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2551, 5102, 7653, 10204, 15306, 20408, 30612

Step-4: Factors of 61243

List of positive integer factors of 61243 that divides 61224 without a remainder.

1, 7, 13, 91, 673, 4711, 8749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61224 and 61243. The biggest common factor number is the GCF number.
So the greatest common factor 61224 and 61243 is 1.

Also check out the Least Common Multiple of 61224 and 61243