What is the Greatest Common Factor of 74480 and 74484?

Greatest common factor (GCF) of 74480 and 74484 is 4.

GCF(74480,74484) = 4

We will now calculate the prime factors of 74480 and 74484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74484.

How to find the GCF of 74480 and 74484?

We will first find the prime factorization of 74480 and 74484. After we will calculate the factors of 74480 and 74484 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 74484

Prime factors of 74484 are 2, 3, 2069. Prime factorization of 74484 in exponential form is:

74484 = 2² × 3² × 2069¹

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 74484

List of positive integer factors of 74484 that divides 74480 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2069, 4138, 6207, 8276, 12414, 18621, 24828, 37242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74484. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74484 is 4.

Also check out the Least Common Multiple of 74480 and 74484