What is the Greatest Common Factor of 62600 and 62609?

Greatest common factor (GCF) of 62600 and 62609 is 1.

GCF(62600,62609) = 1

We will now calculate the prime factors of 62600 and 62609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62600 and 62609.

How to find the GCF of 62600 and 62609?

We will first find the prime factorization of 62600 and 62609. After we will calculate the factors of 62600 and 62609 and find the biggest common factor number .

Step-1: Prime Factorization of 62600

Prime factors of 62600 are 2, 5, 313. Prime factorization of 62600 in exponential form is:

62600 = 2³ × 5² × 313¹

Step-2: Prime Factorization of 62609

Prime factors of 62609 are 137, 457. Prime factorization of 62609 in exponential form is:

62609 = 137¹ × 457¹

Step-3: Factors of 62600

List of positive integer factors of 62600 that divides 62600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 313, 626, 1252, 1565, 2504, 3130, 6260, 7825, 12520, 15650, 31300

Step-4: Factors of 62609

List of positive integer factors of 62609 that divides 62600 without a remainder.

1, 137, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62600 and 62609. The biggest common factor number is the GCF number.
So the greatest common factor 62600 and 62609 is 1.

Also check out the Least Common Multiple of 62600 and 62609