What is the Greatest Common Factor of 74480 and 74499?

Greatest common factor (GCF) of 74480 and 74499 is 19.

GCF(74480,74499) = 19

We will now calculate the prime factors of 74480 and 74499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74499.

How to find the GCF of 74480 and 74499?

We will first find the prime factorization of 74480 and 74499. After we will calculate the factors of 74480 and 74499 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 74499

Prime factors of 74499 are 3, 19, 1307. Prime factorization of 74499 in exponential form is:

74499 = 3¹ × 19¹ × 1307¹

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 74499

List of positive integer factors of 74499 that divides 74480 without a remainder.

1, 3, 19, 57, 1307, 3921, 24833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74499. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74499 is 19.

Also check out the Least Common Multiple of 74480 and 74499