What is the Greatest Common Factor of 74464 and 74480?

Greatest common factor (GCF) of 74464 and 74480 is 16.

GCF(74464,74480) = 16

We will now calculate the prime factors of 74464 and 74480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74464 and 74480.

How to find the GCF of 74464 and 74480?

We will first find the prime factorization of 74464 and 74480. After we will calculate the factors of 74464 and 74480 and find the biggest common factor number .

Step-1: Prime Factorization of 74464

Prime factors of 74464 are 2, 13, 179. Prime factorization of 74464 in exponential form is:

74464 = 2⁵ × 13¹ × 179¹

Step-2: 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-3: Factors of 74464

List of positive integer factors of 74464 that divides 74464 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 179, 208, 358, 416, 716, 1432, 2327, 2864, 4654, 5728, 9308, 18616, 37232

Step-4: Factors of 74480

List of positive integer factors of 74480 that divides 74464 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74464 and 74480. The biggest common factor number is the GCF number.
So the greatest common factor 74464 and 74480 is 16.

Also check out the Least Common Multiple of 74464 and 74480