What is the Greatest Common Factor of 75614 and 75627?

Greatest common factor (GCF) of 75614 and 75627 is 1.

GCF(75614,75627) = 1

We will now calculate the prime factors of 75614 and 75627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75614 and 75627.

How to find the GCF of 75614 and 75627?

We will first find the prime factorization of 75614 and 75627. After we will calculate the factors of 75614 and 75627 and find the biggest common factor number .

Step-1: Prime Factorization of 75614

Prime factors of 75614 are 2, 7, 11, 491. Prime factorization of 75614 in exponential form is:

75614 = 2¹ × 7¹ × 11¹ × 491¹

Step-2: Prime Factorization of 75627

Prime factors of 75627 are 3, 2801. Prime factorization of 75627 in exponential form is:

75627 = 3³ × 2801¹

Step-3: Factors of 75614

List of positive integer factors of 75614 that divides 75614 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 491, 982, 3437, 5401, 6874, 10802, 37807

Step-4: Factors of 75627

List of positive integer factors of 75627 that divides 75614 without a remainder.

1, 3, 9, 27, 2801, 8403, 25209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75614 and 75627. The biggest common factor number is the GCF number.
So the greatest common factor 75614 and 75627 is 1.

Also check out the Least Common Multiple of 75614 and 75627