What is the Greatest Common Factor of 48070 and 48084?

Greatest common factor (GCF) of 48070 and 48084 is 2.

GCF(48070,48084) = 2

We will now calculate the prime factors of 48070 and 48084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48070 and 48084.

How to find the GCF of 48070 and 48084?

We will first find the prime factorization of 48070 and 48084. After we will calculate the factors of 48070 and 48084 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 48084

Prime factors of 48084 are 2, 3, 4007. Prime factorization of 48084 in exponential form is:

48084 = 2² × 3¹ × 4007¹

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 48084

List of positive integer factors of 48084 that divides 48070 without a remainder.

1, 2, 3, 4, 6, 12, 4007, 8014, 12021, 16028, 24042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48070 and 48084. The biggest common factor number is the GCF number.
So the greatest common factor 48070 and 48084 is 2.

Also check out the Least Common Multiple of 48070 and 48084