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What is the Greatest Common Factor of 46116 and 46134?

Greatest common factor (GCF) of 46116 and 46134 is 18.

GCF(46116,46134) = 18

We will now calculate the prime factors of 46116 and 46134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46116 and 46134.

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How to find the GCF of 46116 and 46134?

We will first find the prime factorization of 46116 and 46134. After we will calculate the factors of 46116 and 46134 and find the biggest common factor number .

Step-1: Prime Factorization of 46116

Prime factors of 46116 are 2, 3, 7, 61. Prime factorization of 46116 in exponential form is:

46116 = 22 × 33 × 71 × 611

Step-2: Prime Factorization of 46134

Prime factors of 46134 are 2, 3, 11, 233. Prime factorization of 46134 in exponential form is:

46134 = 21 × 32 × 111 × 2331

Step-3: Factors of 46116

List of positive integer factors of 46116 that divides 46116 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 61, 63, 84, 108, 122, 126, 183, 189, 244, 252, 366, 378, 427, 549, 732, 756, 854, 1098, 1281, 1647, 1708, 2196, 2562, 3294, 3843, 5124, 6588, 7686, 11529, 15372, 23058

Step-4: Factors of 46134

List of positive integer factors of 46134 that divides 46116 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 233, 466, 699, 1398, 2097, 2563, 4194, 5126, 7689, 15378, 23067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46116 and 46134. The biggest common factor number is the GCF number.
So the greatest common factor 46116 and 46134 is 18.

Also check out the Least Common Multiple of 46116 and 46134