What is the Greatest Common Factor of 78234 and 78246?

Greatest common factor (GCF) of 78234 and 78246 is 6.

GCF(78234,78246) = 6

We will now calculate the prime factors of 78234 and 78246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78234 and 78246.

How to find the GCF of 78234 and 78246?

We will first find the prime factorization of 78234 and 78246. After we will calculate the factors of 78234 and 78246 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 78246

Prime factors of 78246 are 2, 3, 7, 23. Prime factorization of 78246 in exponential form is:

78246 = 2¹ × 3⁵ × 7¹ × 23¹

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 78246

List of positive integer factors of 78246 that divides 78234 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 81, 126, 138, 161, 162, 189, 207, 243, 322, 378, 414, 483, 486, 567, 621, 966, 1134, 1242, 1449, 1701, 1863, 2898, 3402, 3726, 4347, 5589, 8694, 11178, 13041, 26082, 39123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78234 and 78246. The biggest common factor number is the GCF number.
So the greatest common factor 78234 and 78246 is 6.

Also check out the Least Common Multiple of 78234 and 78246