What is the Greatest Common Factor of 90610 and 90624?

Greatest common factor (GCF) of 90610 and 90624 is 2.

GCF(90610,90624) = 2

We will now calculate the prime factors of 90610 and 90624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90610 and 90624.

How to find the GCF of 90610 and 90624?

We will first find the prime factorization of 90610 and 90624. After we will calculate the factors of 90610 and 90624 and find the biggest common factor number .

Step-1: Prime Factorization of 90610

Prime factors of 90610 are 2, 5, 13, 17, 41. Prime factorization of 90610 in exponential form is:

90610 = 2¹ × 5¹ × 13¹ × 17¹ × 41¹

Step-2: Prime Factorization of 90624

Prime factors of 90624 are 2, 3, 59. Prime factorization of 90624 in exponential form is:

90624 = 2⁹ × 3¹ × 59¹

Step-3: Factors of 90610

List of positive integer factors of 90610 that divides 90610 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 41, 65, 82, 85, 130, 170, 205, 221, 410, 442, 533, 697, 1066, 1105, 1394, 2210, 2665, 3485, 5330, 6970, 9061, 18122, 45305

Step-4: Factors of 90624

List of positive integer factors of 90624 that divides 90610 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 256, 354, 384, 472, 512, 708, 768, 944, 1416, 1536, 1888, 2832, 3776, 5664, 7552, 11328, 15104, 22656, 30208, 45312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90610 and 90624. The biggest common factor number is the GCF number.
So the greatest common factor 90610 and 90624 is 2.

Also check out the Least Common Multiple of 90610 and 90624