What is the Greatest Common Factor of 62916 and 62930?

Greatest common factor (GCF) of 62916 and 62930 is 14.

GCF(62916,62930) = 14

We will now calculate the prime factors of 62916 and 62930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62916 and 62930.

How to find the GCF of 62916 and 62930?

We will first find the prime factorization of 62916 and 62930. After we will calculate the factors of 62916 and 62930 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 62930

Prime factors of 62930 are 2, 5, 7, 29, 31. Prime factorization of 62930 in exponential form is:

62930 = 2¹ × 5¹ × 7¹ × 29¹ × 31¹

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 62930

List of positive integer factors of 62930 that divides 62916 without a remainder.

1, 2, 5, 7, 10, 14, 29, 31, 35, 58, 62, 70, 145, 155, 203, 217, 290, 310, 406, 434, 899, 1015, 1085, 1798, 2030, 2170, 4495, 6293, 8990, 12586, 31465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62916 and 62930. The biggest common factor number is the GCF number.
So the greatest common factor 62916 and 62930 is 14.

Also check out the Least Common Multiple of 62916 and 62930