What is the Greatest Common Factor of 62416 and 62432?

Greatest common factor (GCF) of 62416 and 62432 is 16.

GCF(62416,62432) = 16

We will now calculate the prime factors of 62416 and 62432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62416 and 62432.

How to find the GCF of 62416 and 62432?

We will first find the prime factorization of 62416 and 62432. After we will calculate the factors of 62416 and 62432 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 62432

Prime factors of 62432 are 2, 1951. Prime factorization of 62432 in exponential form is:

62432 = 2⁵ × 1951¹

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 62432

List of positive integer factors of 62432 that divides 62416 without a remainder.

1, 2, 4, 8, 16, 32, 1951, 3902, 7804, 15608, 31216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62416 and 62432. The biggest common factor number is the GCF number.
So the greatest common factor 62416 and 62432 is 16.

Also check out the Least Common Multiple of 62416 and 62432