What is the Greatest Common Factor of 74472 and 74490?

Greatest common factor (GCF) of 74472 and 74490 is 6.

GCF(74472,74490) = 6

We will now calculate the prime factors of 74472 and 74490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74472 and 74490.

How to find the GCF of 74472 and 74490?

We will first find the prime factorization of 74472 and 74490. After we will calculate the factors of 74472 and 74490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74490

Prime factors of 74490 are 2, 3, 5, 13, 191. Prime factorization of 74490 in exponential form is:

74490 = 2¹ × 3¹ × 5¹ × 13¹ × 191¹

Step-3: Factors of 74472

List of positive integer factors of 74472 that divides 74472 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

Step-4: Factors of 74490

List of positive integer factors of 74490 that divides 74472 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 191, 195, 382, 390, 573, 955, 1146, 1910, 2483, 2865, 4966, 5730, 7449, 12415, 14898, 24830, 37245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74472 and 74490. The biggest common factor number is the GCF number.
So the greatest common factor 74472 and 74490 is 6.

Also check out the Least Common Multiple of 74472 and 74490