What is the Greatest Common Factor of 62525 and 62536?

Greatest common factor (GCF) of 62525 and 62536 is 1.

GCF(62525,62536) = 1

We will now calculate the prime factors of 62525 and 62536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62525 and 62536.

How to find the GCF of 62525 and 62536?

We will first find the prime factorization of 62525 and 62536. After we will calculate the factors of 62525 and 62536 and find the biggest common factor number .

Step-1: Prime Factorization of 62525

Prime factors of 62525 are 5, 41, 61. Prime factorization of 62525 in exponential form is:

62525 = 5² × 41¹ × 61¹

Step-2: Prime Factorization of 62536

Prime factors of 62536 are 2, 7817. Prime factorization of 62536 in exponential form is:

62536 = 2³ × 7817¹

Step-3: Factors of 62525

List of positive integer factors of 62525 that divides 62525 without a remainder.

1, 5, 25, 41, 61, 205, 305, 1025, 1525, 2501, 12505

Step-4: Factors of 62536

List of positive integer factors of 62536 that divides 62525 without a remainder.

1, 2, 4, 8, 7817, 15634, 31268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62525 and 62536. The biggest common factor number is the GCF number.
So the greatest common factor 62525 and 62536 is 1.

Also check out the Least Common Multiple of 62525 and 62536