What is the Greatest Common Factor of 48290 and 48300?

Greatest common factor (GCF) of 48290 and 48300 is 10.

GCF(48290,48300) = 10

We will now calculate the prime factors of 48290 and 48300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48290 and 48300.

How to find the GCF of 48290 and 48300?

We will first find the prime factorization of 48290 and 48300. After we will calculate the factors of 48290 and 48300 and find the biggest common factor number .

Step-1: Prime Factorization of 48290

Prime factors of 48290 are 2, 5, 11, 439. Prime factorization of 48290 in exponential form is:

48290 = 2¹ × 5¹ × 11¹ × 439¹

Step-2: Prime Factorization of 48300

Prime factors of 48300 are 2, 3, 5, 7, 23. Prime factorization of 48300 in exponential form is:

48300 = 2² × 3¹ × 5² × 7¹ × 23¹

Step-3: Factors of 48290

List of positive integer factors of 48290 that divides 48290 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 439, 878, 2195, 4390, 4829, 9658, 24145

Step-4: Factors of 48300

List of positive integer factors of 48300 that divides 48290 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 25, 28, 30, 35, 42, 46, 50, 60, 69, 70, 75, 84, 92, 100, 105, 115, 138, 140, 150, 161, 175, 210, 230, 276, 300, 322, 345, 350, 420, 460, 483, 525, 575, 644, 690, 700, 805, 966, 1050, 1150, 1380, 1610, 1725, 1932, 2100, 2300, 2415, 3220, 3450, 4025, 4830, 6900, 8050, 9660, 12075, 16100, 24150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48290 and 48300. The biggest common factor number is the GCF number.
So the greatest common factor 48290 and 48300 is 10.

Also check out the Least Common Multiple of 48290 and 48300