What is the Greatest Common Factor of 62911 and 62916?

Greatest common factor (GCF) of 62911 and 62916 is 1.

GCF(62911,62916) = 1

We will now calculate the prime factors of 62911 and 62916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62911 and 62916.

How to find the GCF of 62911 and 62916?

We will first find the prime factorization of 62911 and 62916. After we will calculate the factors of 62911 and 62916 and find the biggest common factor number .

Step-1: Prime Factorization of 62911

Prime factors of 62911 are 53, 1187. Prime factorization of 62911 in exponential form is:

62911 = 53¹ × 1187¹

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 62911

List of positive integer factors of 62911 that divides 62911 without a remainder.

1, 53, 1187

Step-4: Factors of 62916

List of positive integer factors of 62916 that divides 62911 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 62911 and 62916. The biggest common factor number is the GCF number.
So the greatest common factor 62911 and 62916 is 1.

Also check out the Least Common Multiple of 62911 and 62916