What is the Greatest Common Factor of 74480 and 74490?

Greatest common factor (GCF) of 74480 and 74490 is 10.

GCF(74480,74490) = 10

We will now calculate the prime factors of 74480 and 74490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74490.

How to find the GCF of 74480 and 74490?

We will first find the prime factorization of 74480 and 74490. After we will calculate the factors of 74480 and 74490 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 74490

Prime factors of 74490 are 2, 3, 5, 13, 191. Prime factorization of 74490 in exponential form is:

74490 = 2¹ × 3¹ × 5¹ × 13¹ × 191¹

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 74490

List of positive integer factors of 74490 that divides 74480 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 191, 195, 382, 390, 573, 955, 1146, 1910, 2483, 2865, 4966, 5730, 7449, 12415, 14898, 24830, 37245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74490. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74490 is 10.

Also check out the Least Common Multiple of 74480 and 74490