What is the Greatest Common Factor of 46112 and 46130?

Greatest common factor (GCF) of 46112 and 46130 is 2.

GCF(46112,46130) = 2

We will now calculate the prime factors of 46112 and 46130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46112 and 46130.

How to find the GCF of 46112 and 46130?

We will first find the prime factorization of 46112 and 46130. After we will calculate the factors of 46112 and 46130 and find the biggest common factor number .

Step-1: Prime Factorization of 46112

Prime factors of 46112 are 2, 11, 131. Prime factorization of 46112 in exponential form is:

46112 = 2⁵ × 11¹ × 131¹

Step-2: Prime Factorization of 46130

Prime factors of 46130 are 2, 5, 7, 659. Prime factorization of 46130 in exponential form is:

46130 = 2¹ × 5¹ × 7¹ × 659¹

Step-3: Factors of 46112

List of positive integer factors of 46112 that divides 46112 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 131, 176, 262, 352, 524, 1048, 1441, 2096, 2882, 4192, 5764, 11528, 23056

Step-4: Factors of 46130

List of positive integer factors of 46130 that divides 46112 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 659, 1318, 3295, 4613, 6590, 9226, 23065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46112 and 46130. The biggest common factor number is the GCF number.
So the greatest common factor 46112 and 46130 is 2.

Also check out the Least Common Multiple of 46112 and 46130