What is the Greatest Common Factor of 73629 and 73633?

Greatest common factor (GCF) of 73629 and 73633 is 1.

GCF(73629,73633) = 1

We will now calculate the prime factors of 73629 and 73633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73629 and 73633.

How to find the GCF of 73629 and 73633?

We will first find the prime factorization of 73629 and 73633. After we will calculate the factors of 73629 and 73633 and find the biggest common factor number .

Step-1: Prime Factorization of 73629

Prime factors of 73629 are 3, 101. Prime factorization of 73629 in exponential form is:

73629 = 3⁶ × 101¹

Step-2: Prime Factorization of 73633

Prime factors of 73633 are 7, 67, 157. Prime factorization of 73633 in exponential form is:

73633 = 7¹ × 67¹ × 157¹

Step-3: Factors of 73629

List of positive integer factors of 73629 that divides 73629 without a remainder.

1, 3, 9, 27, 81, 101, 243, 303, 729, 909, 2727, 8181, 24543

Step-4: Factors of 73633

List of positive integer factors of 73633 that divides 73629 without a remainder.

1, 7, 67, 157, 469, 1099, 10519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73629 and 73633. The biggest common factor number is the GCF number.
So the greatest common factor 73629 and 73633 is 1.

Also check out the Least Common Multiple of 73629 and 73633