What is the Greatest Common Factor of 48224 and 48230?

Greatest common factor (GCF) of 48224 and 48230 is 2.

GCF(48224,48230) = 2

We will now calculate the prime factors of 48224 and 48230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48224 and 48230.

How to find the GCF of 48224 and 48230?

We will first find the prime factorization of 48224 and 48230. After we will calculate the factors of 48224 and 48230 and find the biggest common factor number .

Step-1: Prime Factorization of 48224

Prime factors of 48224 are 2, 11, 137. Prime factorization of 48224 in exponential form is:

48224 = 2⁵ × 11¹ × 137¹

Step-2: Prime Factorization of 48230

Prime factors of 48230 are 2, 5, 7, 13, 53. Prime factorization of 48230 in exponential form is:

48230 = 2¹ × 5¹ × 7¹ × 13¹ × 53¹

Step-3: Factors of 48224

List of positive integer factors of 48224 that divides 48224 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 137, 176, 274, 352, 548, 1096, 1507, 2192, 3014, 4384, 6028, 12056, 24112

Step-4: Factors of 48230

List of positive integer factors of 48230 that divides 48224 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 53, 65, 70, 91, 106, 130, 182, 265, 371, 455, 530, 689, 742, 910, 1378, 1855, 3445, 3710, 4823, 6890, 9646, 24115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48224 and 48230. The biggest common factor number is the GCF number.
So the greatest common factor 48224 and 48230 is 2.

Also check out the Least Common Multiple of 48224 and 48230