What is the Greatest Common Factor of 90624 and 90629?

Greatest common factor (GCF) of 90624 and 90629 is 1.

GCF(90624,90629) = 1

We will now calculate the prime factors of 90624 and 90629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90624 and 90629.

How to find the GCF of 90624 and 90629?

We will first find the prime factorization of 90624 and 90629. After we will calculate the factors of 90624 and 90629 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 90629

Prime factors of 90629 are 7, 11, 107. Prime factorization of 90629 in exponential form is:

90629 = 7¹ × 11² × 107¹

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 90629

List of positive integer factors of 90629 that divides 90624 without a remainder.

1, 7, 11, 77, 107, 121, 749, 847, 1177, 8239, 12947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90624 and 90629. The biggest common factor number is the GCF number.
So the greatest common factor 90624 and 90629 is 1.

Also check out the Least Common Multiple of 90624 and 90629