What is the Greatest Common Factor of 62519 and 62525?

Greatest common factor (GCF) of 62519 and 62525 is 1.

GCF(62519,62525) = 1

We will now calculate the prime factors of 62519 and 62525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62519 and 62525.

How to find the GCF of 62519 and 62525?

We will first find the prime factorization of 62519 and 62525. After we will calculate the factors of 62519 and 62525 and find the biggest common factor number .

Step-1: Prime Factorization of 62519

Prime factors of 62519 are 101, 619. Prime factorization of 62519 in exponential form is:

62519 = 101¹ × 619¹

Step-2: 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-3: Factors of 62519

List of positive integer factors of 62519 that divides 62519 without a remainder.

1, 101, 619

Step-4: Factors of 62525

List of positive integer factors of 62525 that divides 62519 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62519 and 62525. The biggest common factor number is the GCF number.
So the greatest common factor 62519 and 62525 is 1.

Also check out the Least Common Multiple of 62519 and 62525