What is the Greatest Common Factor of 90480 and 90492?

Greatest common factor (GCF) of 90480 and 90492 is 12.

GCF(90480,90492) = 12

We will now calculate the prime factors of 90480 and 90492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90480 and 90492.

How to find the GCF of 90480 and 90492?

We will first find the prime factorization of 90480 and 90492. After we will calculate the factors of 90480 and 90492 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 90492

Prime factors of 90492 are 2, 3, 7541. Prime factorization of 90492 in exponential form is:

90492 = 2² × 3¹ × 7541¹

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 90492

List of positive integer factors of 90492 that divides 90480 without a remainder.

1, 2, 3, 4, 6, 12, 7541, 15082, 22623, 30164, 45246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90480 and 90492. The biggest common factor number is the GCF number.
So the greatest common factor 90480 and 90492 is 12.

Also check out the Least Common Multiple of 90480 and 90492