What is the Greatest Common Factor of 46109 and 46116?

Greatest common factor (GCF) of 46109 and 46116 is 7.

GCF(46109,46116) = 7

We will now calculate the prime factors of 46109 and 46116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46109 and 46116.

How to find the GCF of 46109 and 46116?

We will first find the prime factorization of 46109 and 46116. After we will calculate the factors of 46109 and 46116 and find the biggest common factor number .

Step-1: Prime Factorization of 46109

Prime factors of 46109 are 7, 941. Prime factorization of 46109 in exponential form is:

46109 = 7² × 941¹

Step-2: 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-3: Factors of 46109

List of positive integer factors of 46109 that divides 46109 without a remainder.

1, 7, 49, 941, 6587

Step-4: Factors of 46116

List of positive integer factors of 46116 that divides 46109 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46109 and 46116. The biggest common factor number is the GCF number.
So the greatest common factor 46109 and 46116 is 7.

Also check out the Least Common Multiple of 46109 and 46116