What is the Greatest Common Factor of 90480 and 90490?

Greatest common factor (GCF) of 90480 and 90490 is 10.

GCF(90480,90490) = 10

We will now calculate the prime factors of 90480 and 90490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90480 and 90490.

How to find the GCF of 90480 and 90490?

We will first find the prime factorization of 90480 and 90490. After we will calculate the factors of 90480 and 90490 and find the biggest common factor number .

Step-1: Prime Factorization of 90480

Prime factors of 90480 are 2, 3, 5, 13, 29. Prime factorization of 90480 in exponential form is:

90480 = 2⁴ × 3¹ × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 90490

Prime factors of 90490 are 2, 5, 9049. Prime factorization of 90490 in exponential form is:

90490 = 2¹ × 5¹ × 9049¹

Step-3: Factors of 90480

List of positive integer factors of 90480 that divides 90480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 29, 30, 39, 40, 48, 52, 58, 60, 65, 78, 80, 87, 104, 116, 120, 130, 145, 156, 174, 195, 208, 232, 240, 260, 290, 312, 348, 377, 390, 435, 464, 520, 580, 624, 696, 754, 780, 870, 1040, 1131, 1160, 1392, 1508, 1560, 1740, 1885, 2262, 2320, 3016, 3120, 3480, 3770, 4524, 5655, 6032, 6960, 7540, 9048, 11310, 15080, 18096, 22620, 30160, 45240

Step-4: Factors of 90490

List of positive integer factors of 90490 that divides 90480 without a remainder.

1, 2, 5, 10, 9049, 18098, 45245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90480 and 90490. The biggest common factor number is the GCF number.
So the greatest common factor 90480 and 90490 is 10.

Also check out the Least Common Multiple of 90480 and 90490