What is the Greatest Common Factor of 48230 and 48244?

Greatest common factor (GCF) of 48230 and 48244 is 14.

GCF(48230,48244) = 14

We will now calculate the prime factors of 48230 and 48244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48230 and 48244.

How to find the GCF of 48230 and 48244?

We will first find the prime factorization of 48230 and 48244. After we will calculate the factors of 48230 and 48244 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48244

Prime factors of 48244 are 2, 7, 1723. Prime factorization of 48244 in exponential form is:

48244 = 2² × 7¹ × 1723¹

Step-3: Factors of 48230

List of positive integer factors of 48230 that divides 48230 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

Step-4: Factors of 48244

List of positive integer factors of 48244 that divides 48230 without a remainder.

1, 2, 4, 7, 14, 28, 1723, 3446, 6892, 12061, 24122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48230 and 48244. The biggest common factor number is the GCF number.
So the greatest common factor 48230 and 48244 is 14.

Also check out the Least Common Multiple of 48230 and 48244