What is the Greatest Common Factor of 62608 and 62620?

Greatest common factor (GCF) of 62608 and 62620 is 4.

GCF(62608,62620) = 4

We will now calculate the prime factors of 62608 and 62620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62608 and 62620.

How to find the GCF of 62608 and 62620?

We will first find the prime factorization of 62608 and 62620. After we will calculate the factors of 62608 and 62620 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 62620

Prime factors of 62620 are 2, 5, 31, 101. Prime factorization of 62620 in exponential form is:

62620 = 2² × 5¹ × 31¹ × 101¹

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 62620

List of positive integer factors of 62620 that divides 62608 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 101, 124, 155, 202, 310, 404, 505, 620, 1010, 2020, 3131, 6262, 12524, 15655, 31310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62608 and 62620. The biggest common factor number is the GCF number.
So the greatest common factor 62608 and 62620 is 4.

Also check out the Least Common Multiple of 62608 and 62620