What is the Greatest Common Factor of 46614 and 46627?

Greatest common factor (GCF) of 46614 and 46627 is 1.

GCF(46614,46627) = 1

We will now calculate the prime factors of 46614 and 46627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46614 and 46627.

How to find the GCF of 46614 and 46627?

We will first find the prime factorization of 46614 and 46627. After we will calculate the factors of 46614 and 46627 and find the biggest common factor number .

Step-1: Prime Factorization of 46614

Prime factors of 46614 are 2, 3, 17, 457. Prime factorization of 46614 in exponential form is:

46614 = 2¹ × 3¹ × 17¹ × 457¹

Step-2: Prime Factorization of 46627

Prime factors of 46627 are 7, 6661. Prime factorization of 46627 in exponential form is:

46627 = 7¹ × 6661¹

Step-3: Factors of 46614

List of positive integer factors of 46614 that divides 46614 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 457, 914, 1371, 2742, 7769, 15538, 23307

Step-4: Factors of 46627

List of positive integer factors of 46627 that divides 46614 without a remainder.

1, 7, 6661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46614 and 46627. The biggest common factor number is the GCF number.
So the greatest common factor 46614 and 46627 is 1.

Also check out the Least Common Multiple of 46614 and 46627