What is the Greatest Common Factor of 62250 and 62254?

Greatest common factor (GCF) of 62250 and 62254 is 2.

GCF(62250,62254) = 2

We will now calculate the prime factors of 62250 and 62254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62250 and 62254.

How to find the GCF of 62250 and 62254?

We will first find the prime factorization of 62250 and 62254. After we will calculate the factors of 62250 and 62254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62254

Prime factors of 62254 are 2, 17, 1831. Prime factorization of 62254 in exponential form is:

62254 = 2¹ × 17¹ × 1831¹

Step-3: Factors of 62250

List of positive integer factors of 62250 that divides 62250 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

Step-4: Factors of 62254

List of positive integer factors of 62254 that divides 62250 without a remainder.

1, 2, 17, 34, 1831, 3662, 31127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62250 and 62254. The biggest common factor number is the GCF number.
So the greatest common factor 62250 and 62254 is 2.

Also check out the Least Common Multiple of 62250 and 62254