What is the Greatest Common Factor of 62930 and 62938?

Greatest common factor (GCF) of 62930 and 62938 is 2.

GCF(62930,62938) = 2

We will now calculate the prime factors of 62930 and 62938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62930 and 62938.

How to find the GCF of 62930 and 62938?

We will first find the prime factorization of 62930 and 62938. After we will calculate the factors of 62930 and 62938 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62938

Prime factors of 62938 are 2, 31469. Prime factorization of 62938 in exponential form is:

62938 = 2¹ × 31469¹

Step-3: Factors of 62930

List of positive integer factors of 62930 that divides 62930 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

Step-4: Factors of 62938

List of positive integer factors of 62938 that divides 62930 without a remainder.

1, 2, 31469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62930 and 62938. The biggest common factor number is the GCF number.
So the greatest common factor 62930 and 62938 is 2.

Also check out the Least Common Multiple of 62930 and 62938