What is the Greatest Common Factor of 46246 and 46265?

Greatest common factor (GCF) of 46246 and 46265 is 19.

GCF(46246,46265) = 19

We will now calculate the prime factors of 46246 and 46265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46246 and 46265.

How to find the GCF of 46246 and 46265?

We will first find the prime factorization of 46246 and 46265. After we will calculate the factors of 46246 and 46265 and find the biggest common factor number .

Step-1: Prime Factorization of 46246

Prime factors of 46246 are 2, 19, 1217. Prime factorization of 46246 in exponential form is:

46246 = 2¹ × 19¹ × 1217¹

Step-2: Prime Factorization of 46265

Prime factors of 46265 are 5, 19, 487. Prime factorization of 46265 in exponential form is:

46265 = 5¹ × 19¹ × 487¹

Step-3: Factors of 46246

List of positive integer factors of 46246 that divides 46246 without a remainder.

1, 2, 19, 38, 1217, 2434, 23123

Step-4: Factors of 46265

List of positive integer factors of 46265 that divides 46246 without a remainder.

1, 5, 19, 95, 487, 2435, 9253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46246 and 46265. The biggest common factor number is the GCF number.
So the greatest common factor 46246 and 46265 is 19.

Also check out the Least Common Multiple of 46246 and 46265