What is the Greatest Common Factor of 62594 and 62608?

Greatest common factor (GCF) of 62594 and 62608 is 14.

GCF(62594,62608) = 14

We will now calculate the prime factors of 62594 and 62608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62594 and 62608.

How to find the GCF of 62594 and 62608?

We will first find the prime factorization of 62594 and 62608. After we will calculate the factors of 62594 and 62608 and find the biggest common factor number .

Step-1: Prime Factorization of 62594

Prime factors of 62594 are 2, 7, 17, 263. Prime factorization of 62594 in exponential form is:

62594 = 2¹ × 7¹ × 17¹ × 263¹

Step-2: 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-3: Factors of 62594

List of positive integer factors of 62594 that divides 62594 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 263, 526, 1841, 3682, 4471, 8942, 31297

Step-4: Factors of 62608

List of positive integer factors of 62608 that divides 62594 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62594 and 62608. The biggest common factor number is the GCF number.
So the greatest common factor 62594 and 62608 is 14.

Also check out the Least Common Multiple of 62594 and 62608