What is the Greatest Common Factor of 78213 and 78232?

Greatest common factor (GCF) of 78213 and 78232 is 1.

GCF(78213,78232) = 1

We will now calculate the prime factors of 78213 and 78232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78213 and 78232.

How to find the GCF of 78213 and 78232?

We will first find the prime factorization of 78213 and 78232. After we will calculate the factors of 78213 and 78232 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 78232

Prime factors of 78232 are 2, 7, 11, 127. Prime factorization of 78232 in exponential form is:

78232 = 2³ × 7¹ × 11¹ × 127¹

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 78232

List of positive integer factors of 78232 that divides 78213 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 127, 154, 254, 308, 508, 616, 889, 1016, 1397, 1778, 2794, 3556, 5588, 7112, 9779, 11176, 19558, 39116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78213 and 78232. The biggest common factor number is the GCF number.
So the greatest common factor 78213 and 78232 is 1.

Also check out the Least Common Multiple of 78213 and 78232