What is the Greatest Common Factor of 62608 and 62626?

Greatest common factor (GCF) of 62608 and 62626 is 2.

GCF(62608,62626) = 2

We will now calculate the prime factors of 62608 and 62626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62608 and 62626.

How to find the GCF of 62608 and 62626?

We will first find the prime factorization of 62608 and 62626. After we will calculate the factors of 62608 and 62626 and find the biggest common factor number .

Step-1: Prime Factorization of 62608

Prime factors of 62608 are 2, 7, 13, 43. Prime factorization of 62608 in exponential form is:

62608 = 2⁴ × 7¹ × 13¹ × 43¹

Step-2: Prime Factorization of 62626

Prime factors of 62626 are 2, 173, 181. Prime factorization of 62626 in exponential form is:

62626 = 2¹ × 173¹ × 181¹

Step-3: Factors of 62608

List of positive integer factors of 62608 that divides 62608 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 43, 52, 56, 86, 91, 104, 112, 172, 182, 208, 301, 344, 364, 559, 602, 688, 728, 1118, 1204, 1456, 2236, 2408, 3913, 4472, 4816, 7826, 8944, 15652, 31304

Step-4: Factors of 62626

List of positive integer factors of 62626 that divides 62608 without a remainder.

1, 2, 173, 181, 346, 362, 31313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62608 and 62626. The biggest common factor number is the GCF number.
So the greatest common factor 62608 and 62626 is 2.

Also check out the Least Common Multiple of 62608 and 62626