What is the Greatest Common Factor of 62265 and 62275?

Greatest common factor (GCF) of 62265 and 62275 is 5.

GCF(62265,62275) = 5

We will now calculate the prime factors of 62265 and 62275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62265 and 62275.

How to find the GCF of 62265 and 62275?

We will first find the prime factorization of 62265 and 62275. After we will calculate the factors of 62265 and 62275 and find the biggest common factor number .

Step-1: Prime Factorization of 62265

Prime factors of 62265 are 3, 5, 7, 593. Prime factorization of 62265 in exponential form is:

62265 = 3¹ × 5¹ × 7¹ × 593¹

Step-2: Prime Factorization of 62275

Prime factors of 62275 are 5, 47, 53. Prime factorization of 62275 in exponential form is:

62275 = 5² × 47¹ × 53¹

Step-3: Factors of 62265

List of positive integer factors of 62265 that divides 62265 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 593, 1779, 2965, 4151, 8895, 12453, 20755

Step-4: Factors of 62275

List of positive integer factors of 62275 that divides 62265 without a remainder.

1, 5, 25, 47, 53, 235, 265, 1175, 1325, 2491, 12455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62265 and 62275. The biggest common factor number is the GCF number.
So the greatest common factor 62265 and 62275 is 5.

Also check out the Least Common Multiple of 62265 and 62275