What is the Greatest Common Factor of 48600 and 48620?

Greatest common factor (GCF) of 48600 and 48620 is 20.

GCF(48600,48620) = 20

We will now calculate the prime factors of 48600 and 48620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48600 and 48620.

How to find the GCF of 48600 and 48620?

We will first find the prime factorization of 48600 and 48620. After we will calculate the factors of 48600 and 48620 and find the biggest common factor number .

Step-1: Prime Factorization of 48600

Prime factors of 48600 are 2, 3, 5. Prime factorization of 48600 in exponential form is:

48600 = 2³ × 3⁵ × 5²

Step-2: Prime Factorization of 48620

Prime factors of 48620 are 2, 5, 11, 13, 17. Prime factorization of 48620 in exponential form is:

48620 = 2² × 5¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 48600

List of positive integer factors of 48600 that divides 48600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 243, 270, 300, 324, 360, 405, 450, 486, 540, 600, 648, 675, 810, 900, 972, 1080, 1215, 1350, 1620, 1800, 1944, 2025, 2430, 2700, 3240, 4050, 4860, 5400, 6075, 8100, 9720, 12150, 16200, 24300

Step-4: Factors of 48620

List of positive integer factors of 48620 that divides 48600 without a remainder.

1, 2, 4, 5, 10, 11, 13, 17, 20, 22, 26, 34, 44, 52, 55, 65, 68, 85, 110, 130, 143, 170, 187, 220, 221, 260, 286, 340, 374, 442, 572, 715, 748, 884, 935, 1105, 1430, 1870, 2210, 2431, 2860, 3740, 4420, 4862, 9724, 12155, 24310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48600 and 48620. The biggest common factor number is the GCF number.
So the greatest common factor 48600 and 48620 is 20.

Also check out the Least Common Multiple of 48600 and 48620