What is the Greatest Common Factor of 62608 and 62624?

Greatest common factor (GCF) of 62608 and 62624 is 16.

GCF(62608,62624) = 16

We will now calculate the prime factors of 62608 and 62624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62608 and 62624.

How to find the GCF of 62608 and 62624?

We will first find the prime factorization of 62608 and 62624. After we will calculate the factors of 62608 and 62624 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 62624

Prime factors of 62624 are 2, 19, 103. Prime factorization of 62624 in exponential form is:

62624 = 2⁵ × 19¹ × 103¹

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 62624

List of positive integer factors of 62624 that divides 62608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 103, 152, 206, 304, 412, 608, 824, 1648, 1957, 3296, 3914, 7828, 15656, 31312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62608 and 62624. The biggest common factor number is the GCF number.
So the greatest common factor 62608 and 62624 is 16.

Also check out the Least Common Multiple of 62608 and 62624