What is the Greatest Common Factor of 74466 and 74480?

Greatest common factor (GCF) of 74466 and 74480 is 14.

GCF(74466,74480) = 14

We will now calculate the prime factors of 74466 and 74480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74466 and 74480.

How to find the GCF of 74466 and 74480?

We will first find the prime factorization of 74466 and 74480. After we will calculate the factors of 74466 and 74480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74480

Prime factors of 74480 are 2, 5, 7, 19. Prime factorization of 74480 in exponential form is:

74480 = 2⁴ × 5¹ × 7² × 19¹

Step-3: Factors of 74466

List of positive integer factors of 74466 that divides 74466 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

Step-4: Factors of 74480

List of positive integer factors of 74480 that divides 74466 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 35, 38, 40, 49, 56, 70, 76, 80, 95, 98, 112, 133, 140, 152, 190, 196, 245, 266, 280, 304, 380, 392, 490, 532, 560, 665, 760, 784, 931, 980, 1064, 1330, 1520, 1862, 1960, 2128, 2660, 3724, 3920, 4655, 5320, 7448, 9310, 10640, 14896, 18620, 37240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74466 and 74480. The biggest common factor number is the GCF number.
So the greatest common factor 74466 and 74480 is 14.

Also check out the Least Common Multiple of 74466 and 74480