What is the Greatest Common Factor of 74480 and 74493?

Greatest common factor (GCF) of 74480 and 74493 is 1.

GCF(74480,74493) = 1

We will now calculate the prime factors of 74480 and 74493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74493.

How to find the GCF of 74480 and 74493?

We will first find the prime factorization of 74480 and 74493. After we will calculate the factors of 74480 and 74493 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74493

Prime factors of 74493 are 3, 31, 89. Prime factorization of 74493 in exponential form is:

74493 = 3³ × 31¹ × 89¹

Step-3: Factors of 74480

List of positive integer factors of 74480 that divides 74480 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

Step-4: Factors of 74493

List of positive integer factors of 74493 that divides 74480 without a remainder.

1, 3, 9, 27, 31, 89, 93, 267, 279, 801, 837, 2403, 2759, 8277, 24831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74493. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74493 is 1.

Also check out the Least Common Multiple of 74480 and 74493