What is the Greatest Common Factor of 48070 and 48081?

Greatest common factor (GCF) of 48070 and 48081 is 11.

GCF(48070,48081) = 11

We will now calculate the prime factors of 48070 and 48081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48070 and 48081.

How to find the GCF of 48070 and 48081?

We will first find the prime factorization of 48070 and 48081. After we will calculate the factors of 48070 and 48081 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 48081

Prime factors of 48081 are 3, 11, 31, 47. Prime factorization of 48081 in exponential form is:

48081 = 3¹ × 11¹ × 31¹ × 47¹

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 48081

List of positive integer factors of 48081 that divides 48070 without a remainder.

1, 3, 11, 31, 33, 47, 93, 141, 341, 517, 1023, 1457, 1551, 4371, 16027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48070 and 48081. The biggest common factor number is the GCF number.
So the greatest common factor 48070 and 48081 is 11.

Also check out the Least Common Multiple of 48070 and 48081