What is the Greatest Common Factor of 90475 and 90480?

Greatest common factor (GCF) of 90475 and 90480 is 5.

GCF(90475,90480) = 5

We will now calculate the prime factors of 90475 and 90480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90475 and 90480.

How to find the GCF of 90475 and 90480?

We will first find the prime factorization of 90475 and 90480. After we will calculate the factors of 90475 and 90480 and find the biggest common factor number .

Step-1: Prime Factorization of 90475

Prime factors of 90475 are 5, 7, 11, 47. Prime factorization of 90475 in exponential form is:

90475 = 5² × 7¹ × 11¹ × 47¹

Step-2: 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-3: Factors of 90475

List of positive integer factors of 90475 that divides 90475 without a remainder.

1, 5, 7, 11, 25, 35, 47, 55, 77, 175, 235, 275, 329, 385, 517, 1175, 1645, 1925, 2585, 3619, 8225, 12925, 18095

Step-4: Factors of 90480

List of positive integer factors of 90480 that divides 90475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90475 and 90480. The biggest common factor number is the GCF number.
So the greatest common factor 90475 and 90480 is 5.

Also check out the Least Common Multiple of 90475 and 90480