What is the Greatest Common Factor of 62416 and 62428?

Greatest common factor (GCF) of 62416 and 62428 is 4.

GCF(62416,62428) = 4

We will now calculate the prime factors of 62416 and 62428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62416 and 62428.

How to find the GCF of 62416 and 62428?

We will first find the prime factorization of 62416 and 62428. After we will calculate the factors of 62416 and 62428 and find the biggest common factor number .

Step-1: Prime Factorization of 62416

Prime factors of 62416 are 2, 47, 83. Prime factorization of 62416 in exponential form is:

62416 = 2⁴ × 47¹ × 83¹

Step-2: Prime Factorization of 62428

Prime factors of 62428 are 2, 15607. Prime factorization of 62428 in exponential form is:

62428 = 2² × 15607¹

Step-3: Factors of 62416

List of positive integer factors of 62416 that divides 62416 without a remainder.

1, 2, 4, 8, 16, 47, 83, 94, 166, 188, 332, 376, 664, 752, 1328, 3901, 7802, 15604, 31208

Step-4: Factors of 62428

List of positive integer factors of 62428 that divides 62416 without a remainder.

1, 2, 4, 15607, 31214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62416 and 62428. The biggest common factor number is the GCF number.
So the greatest common factor 62416 and 62428 is 4.

Also check out the Least Common Multiple of 62416 and 62428