What is the Greatest Common Factor of 61823 and 61828?

Greatest common factor (GCF) of 61823 and 61828 is 1.

GCF(61823,61828) = 1

We will now calculate the prime factors of 61823 and 61828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61823 and 61828.

How to find the GCF of 61823 and 61828?

We will first find the prime factorization of 61823 and 61828. After we will calculate the factors of 61823 and 61828 and find the biggest common factor number .

Step-1: Prime Factorization of 61823

Prime factors of 61823 are 211, 293. Prime factorization of 61823 in exponential form is:

61823 = 211¹ × 293¹

Step-2: Prime Factorization of 61828

Prime factors of 61828 are 2, 13, 29, 41. Prime factorization of 61828 in exponential form is:

61828 = 2² × 13¹ × 29¹ × 41¹

Step-3: Factors of 61823

List of positive integer factors of 61823 that divides 61823 without a remainder.

1, 211, 293

Step-4: Factors of 61828

List of positive integer factors of 61828 that divides 61823 without a remainder.

1, 2, 4, 13, 26, 29, 41, 52, 58, 82, 116, 164, 377, 533, 754, 1066, 1189, 1508, 2132, 2378, 4756, 15457, 30914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61823 and 61828. The biggest common factor number is the GCF number.
So the greatest common factor 61823 and 61828 is 1.

Also check out the Least Common Multiple of 61823 and 61828