What is the Greatest Common Factor of 74608 and 74620?

Greatest common factor (GCF) of 74608 and 74620 is 4.

GCF(74608,74620) = 4

We will now calculate the prime factors of 74608 and 74620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74608 and 74620.

How to find the GCF of 74608 and 74620?

We will first find the prime factorization of 74608 and 74620. After we will calculate the factors of 74608 and 74620 and find the biggest common factor number .

Step-1: Prime Factorization of 74608

Prime factors of 74608 are 2, 4663. Prime factorization of 74608 in exponential form is:

74608 = 2⁴ × 4663¹

Step-2: Prime Factorization of 74620

Prime factors of 74620 are 2, 5, 7, 13, 41. Prime factorization of 74620 in exponential form is:

74620 = 2² × 5¹ × 7¹ × 13¹ × 41¹

Step-3: Factors of 74608

List of positive integer factors of 74608 that divides 74608 without a remainder.

1, 2, 4, 8, 16, 4663, 9326, 18652, 37304

Step-4: Factors of 74620

List of positive integer factors of 74620 that divides 74608 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 41, 52, 65, 70, 82, 91, 130, 140, 164, 182, 205, 260, 287, 364, 410, 455, 533, 574, 820, 910, 1066, 1148, 1435, 1820, 2132, 2665, 2870, 3731, 5330, 5740, 7462, 10660, 14924, 18655, 37310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74608 and 74620. The biggest common factor number is the GCF number.
So the greatest common factor 74608 and 74620 is 4.

Also check out the Least Common Multiple of 74608 and 74620