What is the Greatest Common Factor of 48060 and 48070?

Greatest common factor (GCF) of 48060 and 48070 is 10.

GCF(48060,48070) = 10

We will now calculate the prime factors of 48060 and 48070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48060 and 48070.

How to find the GCF of 48060 and 48070?

We will first find the prime factorization of 48060 and 48070. After we will calculate the factors of 48060 and 48070 and find the biggest common factor number .

Step-1: Prime Factorization of 48060

Prime factors of 48060 are 2, 3, 5, 89. Prime factorization of 48060 in exponential form is:

48060 = 2² × 3³ × 5¹ × 89¹

Step-2: 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-3: Factors of 48060

List of positive integer factors of 48060 that divides 48060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 89, 90, 108, 135, 178, 180, 267, 270, 356, 445, 534, 540, 801, 890, 1068, 1335, 1602, 1780, 2403, 2670, 3204, 4005, 4806, 5340, 8010, 9612, 12015, 16020, 24030

Step-4: Factors of 48070

List of positive integer factors of 48070 that divides 48060 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48060 and 48070. The biggest common factor number is the GCF number.
So the greatest common factor 48060 and 48070 is 10.

Also check out the Least Common Multiple of 48060 and 48070