What is the Greatest Common Factor of 48570 and 48576?

Greatest common factor (GCF) of 48570 and 48576 is 6.

GCF(48570,48576) = 6

We will now calculate the prime factors of 48570 and 48576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48570 and 48576.

How to find the GCF of 48570 and 48576?

We will first find the prime factorization of 48570 and 48576. After we will calculate the factors of 48570 and 48576 and find the biggest common factor number .

Step-1: Prime Factorization of 48570

Prime factors of 48570 are 2, 3, 5, 1619. Prime factorization of 48570 in exponential form is:

48570 = 2¹ × 3¹ × 5¹ × 1619¹

Step-2: Prime Factorization of 48576

Prime factors of 48576 are 2, 3, 11, 23. Prime factorization of 48576 in exponential form is:

48576 = 2⁶ × 3¹ × 11¹ × 23¹

Step-3: Factors of 48570

List of positive integer factors of 48570 that divides 48570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1619, 3238, 4857, 8095, 9714, 16190, 24285

Step-4: Factors of 48576

List of positive integer factors of 48576 that divides 48570 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 23, 24, 32, 33, 44, 46, 48, 64, 66, 69, 88, 92, 96, 132, 138, 176, 184, 192, 253, 264, 276, 352, 368, 506, 528, 552, 704, 736, 759, 1012, 1056, 1104, 1472, 1518, 2024, 2112, 2208, 3036, 4048, 4416, 6072, 8096, 12144, 16192, 24288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48570 and 48576. The biggest common factor number is the GCF number.
So the greatest common factor 48570 and 48576 is 6.

Also check out the Least Common Multiple of 48570 and 48576