What is the Greatest Common Factor of 62912 and 62930?

Greatest common factor (GCF) of 62912 and 62930 is 2.

GCF(62912,62930) = 2

We will now calculate the prime factors of 62912 and 62930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62912 and 62930.

How to find the GCF of 62912 and 62930?

We will first find the prime factorization of 62912 and 62930. After we will calculate the factors of 62912 and 62930 and find the biggest common factor number .

Step-1: Prime Factorization of 62912

Prime factors of 62912 are 2, 983. Prime factorization of 62912 in exponential form is:

62912 = 2⁶ × 983¹

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 62912

List of positive integer factors of 62912 that divides 62912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 983, 1966, 3932, 7864, 15728, 31456

Step-4: Factors of 62930

List of positive integer factors of 62930 that divides 62912 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 62912 and 62930. The biggest common factor number is the GCF number.
So the greatest common factor 62912 and 62930 is 2.

Also check out the Least Common Multiple of 62912 and 62930