What is the Greatest Common Factor of 74606 and 74620?

Greatest common factor (GCF) of 74606 and 74620 is 14.

GCF(74606,74620) = 14

We will now calculate the prime factors of 74606 and 74620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74606 and 74620.

How to find the GCF of 74606 and 74620?

We will first find the prime factorization of 74606 and 74620. After we will calculate the factors of 74606 and 74620 and find the biggest common factor number .

Step-1: Prime Factorization of 74606

Prime factors of 74606 are 2, 7, 73. Prime factorization of 74606 in exponential form is:

74606 = 2¹ × 7¹ × 73²

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 74606

List of positive integer factors of 74606 that divides 74606 without a remainder.

1, 2, 7, 14, 73, 146, 511, 1022, 5329, 10658, 37303

Step-4: Factors of 74620

List of positive integer factors of 74620 that divides 74606 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 74606 and 74620. The biggest common factor number is the GCF number.
So the greatest common factor 74606 and 74620 is 14.

Also check out the Least Common Multiple of 74606 and 74620