What is the Greatest Common Factor of 62048 and 62062?

Greatest common factor (GCF) of 62048 and 62062 is 14.

GCF(62048,62062) = 14

We will now calculate the prime factors of 62048 and 62062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62048 and 62062.

How to find the GCF of 62048 and 62062?

We will first find the prime factorization of 62048 and 62062. After we will calculate the factors of 62048 and 62062 and find the biggest common factor number .

Step-1: Prime Factorization of 62048

Prime factors of 62048 are 2, 7, 277. Prime factorization of 62048 in exponential form is:

62048 = 2⁵ × 7¹ × 277¹

Step-2: Prime Factorization of 62062

Prime factors of 62062 are 2, 7, 11, 13, 31. Prime factorization of 62062 in exponential form is:

62062 = 2¹ × 7¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 62048

List of positive integer factors of 62048 that divides 62048 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 277, 554, 1108, 1939, 2216, 3878, 4432, 7756, 8864, 15512, 31024

Step-4: Factors of 62062

List of positive integer factors of 62062 that divides 62048 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 31, 62, 77, 91, 143, 154, 182, 217, 286, 341, 403, 434, 682, 806, 1001, 2002, 2387, 2821, 4433, 4774, 5642, 8866, 31031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62048 and 62062. The biggest common factor number is the GCF number.
So the greatest common factor 62048 and 62062 is 14.

Also check out the Least Common Multiple of 62048 and 62062