What is the Greatest Common Factor of 87617 and 87633?

Greatest common factor (GCF) of 87617 and 87633 is 1.

GCF(87617,87633) = 1

We will now calculate the prime factors of 87617 and 87633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87617 and 87633.

How to find the GCF of 87617 and 87633?

We will first find the prime factorization of 87617 and 87633. After we will calculate the factors of 87617 and 87633 and find the biggest common factor number .

Step-1: Prime Factorization of 87617

Prime factors of 87617 are 41, 2137. Prime factorization of 87617 in exponential form is:

87617 = 41¹ × 2137¹

Step-2: Prime Factorization of 87633

Prime factors of 87633 are 3, 7, 13, 107. Prime factorization of 87633 in exponential form is:

87633 = 3² × 7¹ × 13¹ × 107¹

Step-3: Factors of 87617

List of positive integer factors of 87617 that divides 87617 without a remainder.

1, 41, 2137

Step-4: Factors of 87633

List of positive integer factors of 87633 that divides 87617 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 107, 117, 273, 321, 749, 819, 963, 1391, 2247, 4173, 6741, 9737, 12519, 29211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87617 and 87633. The biggest common factor number is the GCF number.
So the greatest common factor 87617 and 87633 is 1.

Also check out the Least Common Multiple of 87617 and 87633