What is the Greatest Common Factor of 61204 and 61223?

Greatest common factor (GCF) of 61204 and 61223 is 1.

GCF(61204,61223) = 1

We will now calculate the prime factors of 61204 and 61223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61204 and 61223.

How to find the GCF of 61204 and 61223?

We will first find the prime factorization of 61204 and 61223. After we will calculate the factors of 61204 and 61223 and find the biggest common factor number .

Step-1: Prime Factorization of 61204

Prime factors of 61204 are 2, 11, 13, 107. Prime factorization of 61204 in exponential form is:

61204 = 2² × 11¹ × 13¹ × 107¹

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 61204

List of positive integer factors of 61204 that divides 61204 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 107, 143, 214, 286, 428, 572, 1177, 1391, 2354, 2782, 4708, 5564, 15301, 30602

Step-4: Factors of 61223

List of positive integer factors of 61223 that divides 61204 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61204 and 61223. The biggest common factor number is the GCF number.
So the greatest common factor 61204 and 61223 is 1.

Also check out the Least Common Multiple of 61204 and 61223