What is the Greatest Common Factor of 65627 and 65634?

Greatest common factor (GCF) of 65627 and 65634 is 1.

GCF(65627,65634) = 1

We will now calculate the prime factors of 65627 and 65634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65627 and 65634.

How to find the GCF of 65627 and 65634?

We will first find the prime factorization of 65627 and 65634. After we will calculate the factors of 65627 and 65634 and find the biggest common factor number .

Step-1: Prime Factorization of 65627

Prime factors of 65627 are 29, 31, 73. Prime factorization of 65627 in exponential form is:

65627 = 29¹ × 31¹ × 73¹

Step-2: Prime Factorization of 65634

Prime factors of 65634 are 2, 3, 10939. Prime factorization of 65634 in exponential form is:

65634 = 2¹ × 3¹ × 10939¹

Step-3: Factors of 65627

List of positive integer factors of 65627 that divides 65627 without a remainder.

1, 29, 31, 73, 899, 2117, 2263

Step-4: Factors of 65634

List of positive integer factors of 65634 that divides 65627 without a remainder.

1, 2, 3, 6, 10939, 21878, 32817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65627 and 65634. The biggest common factor number is the GCF number.
So the greatest common factor 65627 and 65634 is 1.

Also check out the Least Common Multiple of 65627 and 65634