What is the Greatest Common Factor of 62565 and 62575?

Greatest common factor (GCF) of 62565 and 62575 is 5.

GCF(62565,62575) = 5

We will now calculate the prime factors of 62565 and 62575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62565 and 62575.

How to find the GCF of 62565 and 62575?

We will first find the prime factorization of 62565 and 62575. After we will calculate the factors of 62565 and 62575 and find the biggest common factor number .

Step-1: Prime Factorization of 62565

Prime factors of 62565 are 3, 5, 43, 97. Prime factorization of 62565 in exponential form is:

62565 = 3¹ × 5¹ × 43¹ × 97¹

Step-2: Prime Factorization of 62575

Prime factors of 62575 are 5, 2503. Prime factorization of 62575 in exponential form is:

62575 = 5² × 2503¹

Step-3: Factors of 62565

List of positive integer factors of 62565 that divides 62565 without a remainder.

1, 3, 5, 15, 43, 97, 129, 215, 291, 485, 645, 1455, 4171, 12513, 20855

Step-4: Factors of 62575

List of positive integer factors of 62575 that divides 62565 without a remainder.

1, 5, 25, 2503, 12515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62565 and 62575. The biggest common factor number is the GCF number.
So the greatest common factor 62565 and 62575 is 5.

Also check out the Least Common Multiple of 62565 and 62575