What is the Greatest Common Factor of 62916 and 62922?

Greatest common factor (GCF) of 62916 and 62922 is 6.

GCF(62916,62922) = 6

We will now calculate the prime factors of 62916 and 62922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62916 and 62922.

How to find the GCF of 62916 and 62922?

We will first find the prime factorization of 62916 and 62922. After we will calculate the factors of 62916 and 62922 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62922

Prime factors of 62922 are 2, 3, 10487. Prime factorization of 62922 in exponential form is:

62922 = 2¹ × 3¹ × 10487¹

Step-3: Factors of 62916

List of positive integer factors of 62916 that divides 62916 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

Step-4: Factors of 62922

List of positive integer factors of 62922 that divides 62916 without a remainder.

1, 2, 3, 6, 10487, 20974, 31461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62916 and 62922. The biggest common factor number is the GCF number.
So the greatest common factor 62916 and 62922 is 6.

Also check out the Least Common Multiple of 62916 and 62922