What is the Greatest Common Factor of 74460 and 74472?

Greatest common factor (GCF) of 74460 and 74472 is 12.

GCF(74460,74472) = 12

We will now calculate the prime factors of 74460 and 74472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74460 and 74472.

How to find the GCF of 74460 and 74472?

We will first find the prime factorization of 74460 and 74472. After we will calculate the factors of 74460 and 74472 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 74472

Prime factors of 74472 are 2, 3, 29, 107. Prime factorization of 74472 in exponential form is:

74472 = 2³ × 3¹ × 29¹ × 107¹

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 74472

List of positive integer factors of 74472 that divides 74460 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 107, 116, 174, 214, 232, 321, 348, 428, 642, 696, 856, 1284, 2568, 3103, 6206, 9309, 12412, 18618, 24824, 37236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74460 and 74472. The biggest common factor number is the GCF number.
So the greatest common factor 74460 and 74472 is 12.

Also check out the Least Common Multiple of 74460 and 74472