What is the Greatest Common Factor of 93248 and 93262?

Greatest common factor (GCF) of 93248 and 93262 is 2.

GCF(93248,93262) = 2

We will now calculate the prime factors of 93248 and 93262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93248 and 93262.

How to find the GCF of 93248 and 93262?

We will first find the prime factorization of 93248 and 93262. After we will calculate the factors of 93248 and 93262 and find the biggest common factor number .

Step-1: Prime Factorization of 93248

Prime factors of 93248 are 2, 31, 47. Prime factorization of 93248 in exponential form is:

93248 = 2⁶ × 31¹ × 47¹

Step-2: Prime Factorization of 93262

Prime factors of 93262 are 2, 13, 17, 211. Prime factorization of 93262 in exponential form is:

93262 = 2¹ × 13¹ × 17¹ × 211¹

Step-3: Factors of 93248

List of positive integer factors of 93248 that divides 93248 without a remainder.

1, 2, 4, 8, 16, 31, 32, 47, 62, 64, 94, 124, 188, 248, 376, 496, 752, 992, 1457, 1504, 1984, 2914, 3008, 5828, 11656, 23312, 46624

Step-4: Factors of 93262

List of positive integer factors of 93262 that divides 93248 without a remainder.

1, 2, 13, 17, 26, 34, 211, 221, 422, 442, 2743, 3587, 5486, 7174, 46631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93248 and 93262. The biggest common factor number is the GCF number.
So the greatest common factor 93248 and 93262 is 2.

Also check out the Least Common Multiple of 93248 and 93262