What is the Greatest Common Factor of 78234 and 78251?

Greatest common factor (GCF) of 78234 and 78251 is 17.

GCF(78234,78251) = 17

We will now calculate the prime factors of 78234 and 78251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78234 and 78251.

How to find the GCF of 78234 and 78251?

We will first find the prime factorization of 78234 and 78251. After we will calculate the factors of 78234 and 78251 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78251

Prime factors of 78251 are 17, 4603. Prime factorization of 78251 in exponential form is:

78251 = 17¹ × 4603¹

Step-3: Factors of 78234

List of positive integer factors of 78234 that divides 78234 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

Step-4: Factors of 78251

List of positive integer factors of 78251 that divides 78234 without a remainder.

1, 17, 4603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78234 and 78251. The biggest common factor number is the GCF number.
So the greatest common factor 78234 and 78251 is 17.

Also check out the Least Common Multiple of 78234 and 78251