What is the Greatest Common Factor of 62909 and 62916?

Greatest common factor (GCF) of 62909 and 62916 is 7.

GCF(62909,62916) = 7

We will now calculate the prime factors of 62909 and 62916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62909 and 62916.

How to find the GCF of 62909 and 62916?

We will first find the prime factorization of 62909 and 62916. After we will calculate the factors of 62909 and 62916 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62916

Prime factors of 62916 are 2, 3, 7, 107. Prime factorization of 62916 in exponential form is:

62916 = 2² × 3¹ × 7² × 107¹

Step-3: Factors of 62909

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

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

Step-4: Factors of 62916

List of positive integer factors of 62916 that divides 62909 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 107, 147, 196, 214, 294, 321, 428, 588, 642, 749, 1284, 1498, 2247, 2996, 4494, 5243, 8988, 10486, 15729, 20972, 31458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62909 and 62916. The biggest common factor number is the GCF number.
So the greatest common factor 62909 and 62916 is 7.

Also check out the Least Common Multiple of 62909 and 62916