What is the Greatest Common Factor of 46662 and 46674?

Greatest common factor (GCF) of 46662 and 46674 is 6.

GCF(46662,46674) = 6

We will now calculate the prime factors of 46662 and 46674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46662 and 46674.

How to find the GCF of 46662 and 46674?

We will first find the prime factorization of 46662 and 46674. After we will calculate the factors of 46662 and 46674 and find the biggest common factor number .

Step-1: Prime Factorization of 46662

Prime factors of 46662 are 2, 3, 7, 11, 101. Prime factorization of 46662 in exponential form is:

46662 = 2¹ × 3¹ × 7¹ × 11¹ × 101¹

Step-2: Prime Factorization of 46674

Prime factors of 46674 are 2, 3, 2593. Prime factorization of 46674 in exponential form is:

46674 = 2¹ × 3² × 2593¹

Step-3: Factors of 46662

List of positive integer factors of 46662 that divides 46662 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 101, 154, 202, 231, 303, 462, 606, 707, 1111, 1414, 2121, 2222, 3333, 4242, 6666, 7777, 15554, 23331

Step-4: Factors of 46674

List of positive integer factors of 46674 that divides 46662 without a remainder.

1, 2, 3, 6, 9, 18, 2593, 5186, 7779, 15558, 23337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46662 and 46674. The biggest common factor number is the GCF number.
So the greatest common factor 46662 and 46674 is 6.

Also check out the Least Common Multiple of 46662 and 46674