What is the Greatest Common Factor of 90624 and 90643?

Greatest common factor (GCF) of 90624 and 90643 is 1.

GCF(90624,90643) = 1

We will now calculate the prime factors of 90624 and 90643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90624 and 90643.

How to find the GCF of 90624 and 90643?

We will first find the prime factorization of 90624 and 90643. After we will calculate the factors of 90624 and 90643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90643

Prime factors of 90643 are 7, 23, 563. Prime factorization of 90643 in exponential form is:

90643 = 7¹ × 23¹ × 563¹

Step-3: Factors of 90624

List of positive integer factors of 90624 that divides 90624 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

Step-4: Factors of 90643

List of positive integer factors of 90643 that divides 90624 without a remainder.

1, 7, 23, 161, 563, 3941, 12949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90624 and 90643. The biggest common factor number is the GCF number.
So the greatest common factor 90624 and 90643 is 1.

Also check out the Least Common Multiple of 90624 and 90643