What is the Greatest Common Factor of 78213 and 78223?

Greatest common factor (GCF) of 78213 and 78223 is 1.

GCF(78213,78223) = 1

We will now calculate the prime factors of 78213 and 78223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78213 and 78223.

How to find the GCF of 78213 and 78223?

We will first find the prime factorization of 78213 and 78223. After we will calculate the factors of 78213 and 78223 and find the biggest common factor number .

Step-1: Prime Factorization of 78213

Prime factors of 78213 are 3, 29, 31. Prime factorization of 78213 in exponential form is:

78213 = 3¹ × 29² × 31¹

Step-2: Prime Factorization of 78223

Prime factors of 78223 are 19, 23, 179. Prime factorization of 78223 in exponential form is:

78223 = 19¹ × 23¹ × 179¹

Step-3: Factors of 78213

List of positive integer factors of 78213 that divides 78213 without a remainder.

1, 3, 29, 31, 87, 93, 841, 899, 2523, 2697, 26071

Step-4: Factors of 78223

List of positive integer factors of 78223 that divides 78213 without a remainder.

1, 19, 23, 179, 437, 3401, 4117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78213 and 78223. The biggest common factor number is the GCF number.
So the greatest common factor 78213 and 78223 is 1.

Also check out the Least Common Multiple of 78213 and 78223