What is the Greatest Common Factor of 48070 and 48089?

Greatest common factor (GCF) of 48070 and 48089 is 19.

GCF(48070,48089) = 19

We will now calculate the prime factors of 48070 and 48089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48070 and 48089.

How to find the GCF of 48070 and 48089?

We will first find the prime factorization of 48070 and 48089. After we will calculate the factors of 48070 and 48089 and find the biggest common factor number .

Step-1: Prime Factorization of 48070

Prime factors of 48070 are 2, 5, 11, 19, 23. Prime factorization of 48070 in exponential form is:

48070 = 2¹ × 5¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 48089

Prime factors of 48089 are 19, 2531. Prime factorization of 48089 in exponential form is:

48089 = 19¹ × 2531¹

Step-3: Factors of 48070

List of positive integer factors of 48070 that divides 48070 without a remainder.

1, 2, 5, 10, 11, 19, 22, 23, 38, 46, 55, 95, 110, 115, 190, 209, 230, 253, 418, 437, 506, 874, 1045, 1265, 2090, 2185, 2530, 4370, 4807, 9614, 24035

Step-4: Factors of 48089

List of positive integer factors of 48089 that divides 48070 without a remainder.

1, 19, 2531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48070 and 48089. The biggest common factor number is the GCF number.
So the greatest common factor 48070 and 48089 is 19.

Also check out the Least Common Multiple of 48070 and 48089