What is the Greatest Common Factor of 62904 and 62909?

Greatest common factor (GCF) of 62904 and 62909 is 1.

GCF(62904,62909) = 1

We will now calculate the prime factors of 62904 and 62909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62904 and 62909.

How to find the GCF of 62904 and 62909?

We will first find the prime factorization of 62904 and 62909. After we will calculate the factors of 62904 and 62909 and find the biggest common factor number .

Step-1: Prime Factorization of 62904

Prime factors of 62904 are 2, 3, 2621. Prime factorization of 62904 in exponential form is:

62904 = 2³ × 3¹ × 2621¹

Step-2: Prime Factorization of 62909

Prime factors of 62909 are 7, 11, 19, 43. Prime factorization of 62909 in exponential form is:

62909 = 7¹ × 11¹ × 19¹ × 43¹

Step-3: Factors of 62904

List of positive integer factors of 62904 that divides 62904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2621, 5242, 7863, 10484, 15726, 20968, 31452

Step-4: Factors of 62909

List of positive integer factors of 62909 that divides 62904 without a remainder.

1, 7, 11, 19, 43, 77, 133, 209, 301, 473, 817, 1463, 3311, 5719, 8987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62904 and 62909. The biggest common factor number is the GCF number.
So the greatest common factor 62904 and 62909 is 1.

Also check out the Least Common Multiple of 62904 and 62909