What is the Greatest Common Factor of 62416 and 62426?

Greatest common factor (GCF) of 62416 and 62426 is 2.

GCF(62416,62426) = 2

We will now calculate the prime factors of 62416 and 62426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62416 and 62426.

How to find the GCF of 62416 and 62426?

We will first find the prime factorization of 62416 and 62426. After we will calculate the factors of 62416 and 62426 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 62426

Prime factors of 62426 are 2, 7, 13. Prime factorization of 62426 in exponential form is:

62426 = 2¹ × 7⁴ × 13¹

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 62426

List of positive integer factors of 62426 that divides 62416 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 2401, 4459, 4802, 8918, 31213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62416 and 62426. The biggest common factor number is the GCF number.
So the greatest common factor 62416 and 62426 is 2.

Also check out the Least Common Multiple of 62416 and 62426