What is the Greatest Common Factor of 46062 and 46068?

Greatest common factor (GCF) of 46062 and 46068 is 6.

GCF(46062,46068) = 6

We will now calculate the prime factors of 46062 and 46068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46062 and 46068.

How to find the GCF of 46062 and 46068?

We will first find the prime factorization of 46062 and 46068. After we will calculate the factors of 46062 and 46068 and find the biggest common factor number .

Step-1: Prime Factorization of 46062

Prime factors of 46062 are 2, 3, 853. Prime factorization of 46062 in exponential form is:

46062 = 2¹ × 3³ × 853¹

Step-2: Prime Factorization of 46068

Prime factors of 46068 are 2, 3, 11, 349. Prime factorization of 46068 in exponential form is:

46068 = 2² × 3¹ × 11¹ × 349¹

Step-3: Factors of 46062

List of positive integer factors of 46062 that divides 46062 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 853, 1706, 2559, 5118, 7677, 15354, 23031

Step-4: Factors of 46068

List of positive integer factors of 46068 that divides 46062 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 349, 698, 1047, 1396, 2094, 3839, 4188, 7678, 11517, 15356, 23034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46062 and 46068. The biggest common factor number is the GCF number.
So the greatest common factor 46062 and 46068 is 6.

Also check out the Least Common Multiple of 46062 and 46068