What is the Greatest Common Factor of 74480 and 74491?

Greatest common factor (GCF) of 74480 and 74491 is 1.

GCF(74480,74491) = 1

We will now calculate the prime factors of 74480 and 74491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74491.

How to find the GCF of 74480 and 74491?

We will first find the prime factorization of 74480 and 74491. After we will calculate the factors of 74480 and 74491 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 74491

Prime factors of 74491 are 163, 457. Prime factorization of 74491 in exponential form is:

74491 = 163¹ × 457¹

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 74491

List of positive integer factors of 74491 that divides 74480 without a remainder.

1, 163, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74491. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74491 is 1.

Also check out the Least Common Multiple of 74480 and 74491