What is the Greatest Common Factor of 74460 and 74466?

Greatest common factor (GCF) of 74460 and 74466 is 6.

GCF(74460,74466) = 6

We will now calculate the prime factors of 74460 and 74466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74460 and 74466.

How to find the GCF of 74460 and 74466?

We will first find the prime factorization of 74460 and 74466. After we will calculate the factors of 74460 and 74466 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 74466

Prime factors of 74466 are 2, 3, 7, 197. Prime factorization of 74466 in exponential form is:

74466 = 2¹ × 3³ × 7¹ × 197¹

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 74466

List of positive integer factors of 74466 that divides 74460 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 197, 378, 394, 591, 1182, 1379, 1773, 2758, 3546, 4137, 5319, 8274, 10638, 12411, 24822, 37233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74460 and 74466. The biggest common factor number is the GCF number.
So the greatest common factor 74460 and 74466 is 6.

Also check out the Least Common Multiple of 74460 and 74466