What is the Greatest Common Factor of 62250 and 62267?

Greatest common factor (GCF) of 62250 and 62267 is 1.

GCF(62250,62267) = 1

We will now calculate the prime factors of 62250 and 62267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62250 and 62267.

How to find the GCF of 62250 and 62267?

We will first find the prime factorization of 62250 and 62267. After we will calculate the factors of 62250 and 62267 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 62267

Prime factors of 62267 are 71, 877. Prime factorization of 62267 in exponential form is:

62267 = 71¹ × 877¹

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 62267

List of positive integer factors of 62267 that divides 62250 without a remainder.

1, 71, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62250 and 62267. The biggest common factor number is the GCF number.
So the greatest common factor 62250 and 62267 is 1.

Also check out the Least Common Multiple of 62250 and 62267