What is the Greatest Common Factor of 78224 and 78234?

Greatest common factor (GCF) of 78224 and 78234 is 2.

GCF(78224,78234) = 2

We will now calculate the prime factors of 78224 and 78234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78224 and 78234.

How to find the GCF of 78224 and 78234?

We will first find the prime factorization of 78224 and 78234. After we will calculate the factors of 78224 and 78234 and find the biggest common factor number .

Step-1: Prime Factorization of 78224

Prime factors of 78224 are 2, 4889. Prime factorization of 78224 in exponential form is:

78224 = 2⁴ × 4889¹

Step-2: Prime Factorization of 78234

Prime factors of 78234 are 2, 3, 13, 17, 59. Prime factorization of 78234 in exponential form is:

78234 = 2¹ × 3¹ × 13¹ × 17¹ × 59¹

Step-3: Factors of 78224

List of positive integer factors of 78224 that divides 78224 without a remainder.

1, 2, 4, 8, 16, 4889, 9778, 19556, 39112

Step-4: Factors of 78234

List of positive integer factors of 78234 that divides 78224 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 59, 78, 102, 118, 177, 221, 354, 442, 663, 767, 1003, 1326, 1534, 2006, 2301, 3009, 4602, 6018, 13039, 26078, 39117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78224 and 78234. The biggest common factor number is the GCF number.
So the greatest common factor 78224 and 78234 is 2.

Also check out the Least Common Multiple of 78224 and 78234