What is the Greatest Common Factor of 74460 and 74477?

Greatest common factor (GCF) of 74460 and 74477 is 17.

GCF(74460,74477) = 17

We will now calculate the prime factors of 74460 and 74477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74460 and 74477.

How to find the GCF of 74460 and 74477?

We will first find the prime factorization of 74460 and 74477. After we will calculate the factors of 74460 and 74477 and find the biggest common factor number .

Step-1: Prime Factorization of 74460

Prime factors of 74460 are 2, 3, 5, 17, 73. Prime factorization of 74460 in exponential form is:

74460 = 2² × 3¹ × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 74477

Prime factors of 74477 are 13, 17, 337. Prime factorization of 74477 in exponential form is:

74477 = 13¹ × 17¹ × 337¹

Step-3: Factors of 74460

List of positive integer factors of 74460 that divides 74460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 73, 85, 102, 146, 170, 204, 219, 255, 292, 340, 365, 438, 510, 730, 876, 1020, 1095, 1241, 1460, 2190, 2482, 3723, 4380, 4964, 6205, 7446, 12410, 14892, 18615, 24820, 37230

Step-4: Factors of 74477

List of positive integer factors of 74477 that divides 74460 without a remainder.

1, 13, 17, 221, 337, 4381, 5729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74460 and 74477. The biggest common factor number is the GCF number.
So the greatest common factor 74460 and 74477 is 17.

Also check out the Least Common Multiple of 74460 and 74477