What is the Greatest Common Factor of 62250 and 62258?

Greatest common factor (GCF) of 62250 and 62258 is 2.

GCF(62250,62258) = 2

We will now calculate the prime factors of 62250 and 62258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62250 and 62258.

How to find the GCF of 62250 and 62258?

We will first find the prime factorization of 62250 and 62258. After we will calculate the factors of 62250 and 62258 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 62258

Prime factors of 62258 are 2, 7, 4447. Prime factorization of 62258 in exponential form is:

62258 = 2¹ × 7¹ × 4447¹

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 62258

List of positive integer factors of 62258 that divides 62250 without a remainder.

1, 2, 7, 14, 4447, 8894, 31129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62250 and 62258. The biggest common factor number is the GCF number.
So the greatest common factor 62250 and 62258 is 2.

Also check out the Least Common Multiple of 62250 and 62258