What is the Greatest Common Factor of 74480 and 74495?

Greatest common factor (GCF) of 74480 and 74495 is 5.

GCF(74480,74495) = 5

We will now calculate the prime factors of 74480 and 74495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74495.

How to find the GCF of 74480 and 74495?

We will first find the prime factorization of 74480 and 74495. After we will calculate the factors of 74480 and 74495 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 74495

Prime factors of 74495 are 5, 47, 317. Prime factorization of 74495 in exponential form is:

74495 = 5¹ × 47¹ × 317¹

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 74495

List of positive integer factors of 74495 that divides 74480 without a remainder.

1, 5, 47, 235, 317, 1585, 14899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74495. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74495 is 5.

Also check out the Least Common Multiple of 74480 and 74495