What is the Greatest Common Factor of 46002 and 46013?

Greatest common factor (GCF) of 46002 and 46013 is 11.

GCF(46002,46013) = 11

We will now calculate the prime factors of 46002 and 46013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46002 and 46013.

How to find the GCF of 46002 and 46013?

We will first find the prime factorization of 46002 and 46013. After we will calculate the factors of 46002 and 46013 and find the biggest common factor number .

Step-1: Prime Factorization of 46002

Prime factors of 46002 are 2, 3, 11, 17, 41. Prime factorization of 46002 in exponential form is:

46002 = 2¹ × 3¹ × 11¹ × 17¹ × 41¹

Step-2: Prime Factorization of 46013

Prime factors of 46013 are 11, 47, 89. Prime factorization of 46013 in exponential form is:

46013 = 11¹ × 47¹ × 89¹

Step-3: Factors of 46002

List of positive integer factors of 46002 that divides 46002 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 41, 51, 66, 82, 102, 123, 187, 246, 374, 451, 561, 697, 902, 1122, 1353, 1394, 2091, 2706, 4182, 7667, 15334, 23001

Step-4: Factors of 46013

List of positive integer factors of 46013 that divides 46002 without a remainder.

1, 11, 47, 89, 517, 979, 4183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46002 and 46013. The biggest common factor number is the GCF number.
So the greatest common factor 46002 and 46013 is 11.

Also check out the Least Common Multiple of 46002 and 46013