What is the Greatest Common Factor of 62238 and 62250?

Greatest common factor (GCF) of 62238 and 62250 is 6.

GCF(62238,62250) = 6

We will now calculate the prime factors of 62238 and 62250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62238 and 62250.

How to find the GCF of 62238 and 62250?

We will first find the prime factorization of 62238 and 62250. After we will calculate the factors of 62238 and 62250 and find the biggest common factor number .

Step-1: Prime Factorization of 62238

Prime factors of 62238 are 2, 3, 11, 23, 41. Prime factorization of 62238 in exponential form is:

62238 = 2¹ × 3¹ × 11¹ × 23¹ × 41¹

Step-2: Prime Factorization of 62250

Prime factors of 62250 are 2, 3, 5, 83. Prime factorization of 62250 in exponential form is:

62250 = 2¹ × 3¹ × 5³ × 83¹

Step-3: Factors of 62238

List of positive integer factors of 62238 that divides 62238 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 41, 46, 66, 69, 82, 123, 138, 246, 253, 451, 506, 759, 902, 943, 1353, 1518, 1886, 2706, 2829, 5658, 10373, 20746, 31119

Step-4: Factors of 62250

List of positive integer factors of 62250 that divides 62238 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 83, 125, 150, 166, 249, 250, 375, 415, 498, 750, 830, 1245, 2075, 2490, 4150, 6225, 10375, 12450, 20750, 31125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62238 and 62250. The biggest common factor number is the GCF number.
So the greatest common factor 62238 and 62250 is 6.

Also check out the Least Common Multiple of 62238 and 62250