What is the Greatest Common Factor of 76258 and 76272?

Greatest common factor (GCF) of 76258 and 76272 is 14.

GCF(76258,76272) = 14

We will now calculate the prime factors of 76258 and 76272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76258 and 76272.

How to find the GCF of 76258 and 76272?

We will first find the prime factorization of 76258 and 76272. After we will calculate the factors of 76258 and 76272 and find the biggest common factor number .

Step-1: Prime Factorization of 76258

Prime factors of 76258 are 2, 7, 13, 419. Prime factorization of 76258 in exponential form is:

76258 = 2¹ × 7¹ × 13¹ × 419¹

Step-2: Prime Factorization of 76272

Prime factors of 76272 are 2, 3, 7, 227. Prime factorization of 76272 in exponential form is:

76272 = 2⁴ × 3¹ × 7¹ × 227¹

Step-3: Factors of 76258

List of positive integer factors of 76258 that divides 76258 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 419, 838, 2933, 5447, 5866, 10894, 38129

Step-4: Factors of 76272

List of positive integer factors of 76272 that divides 76258 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 227, 336, 454, 681, 908, 1362, 1589, 1816, 2724, 3178, 3632, 4767, 5448, 6356, 9534, 10896, 12712, 19068, 25424, 38136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76258 and 76272. The biggest common factor number is the GCF number.
So the greatest common factor 76258 and 76272 is 14.

Also check out the Least Common Multiple of 76258 and 76272