What is the Greatest Common Factor of 62893 and 62909?

Greatest common factor (GCF) of 62893 and 62909 is 1.

GCF(62893,62909) = 1

We will now calculate the prime factors of 62893 and 62909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62893 and 62909.

How to find the GCF of 62893 and 62909?

We will first find the prime factorization of 62893 and 62909. After we will calculate the factors of 62893 and 62909 and find the biggest common factor number .

Step-1: Prime Factorization of 62893

Prime factors of 62893 are 109, 577. Prime factorization of 62893 in exponential form is:

62893 = 109¹ × 577¹

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 62893

List of positive integer factors of 62893 that divides 62893 without a remainder.

1, 109, 577

Step-4: Factors of 62909

List of positive integer factors of 62909 that divides 62893 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 62893 and 62909. The biggest common factor number is the GCF number.
So the greatest common factor 62893 and 62909 is 1.

Also check out the Least Common Multiple of 62893 and 62909