What is the Greatest Common Factor of 62930 and 62944?

Greatest common factor (GCF) of 62930 and 62944 is 14.

GCF(62930,62944) = 14

We will now calculate the prime factors of 62930 and 62944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62930 and 62944.

How to find the GCF of 62930 and 62944?

We will first find the prime factorization of 62930 and 62944. After we will calculate the factors of 62930 and 62944 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 62944

Prime factors of 62944 are 2, 7, 281. Prime factorization of 62944 in exponential form is:

62944 = 2⁵ × 7¹ × 281¹

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 62944

List of positive integer factors of 62944 that divides 62930 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 8992, 15736, 31472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62930 and 62944. The biggest common factor number is the GCF number.
So the greatest common factor 62930 and 62944 is 14.

Also check out the Least Common Multiple of 62930 and 62944