What is the Greatest Common Factor of 45991 and 46002?

Greatest common factor (GCF) of 45991 and 46002 is 11.

GCF(45991,46002) = 11

We will now calculate the prime factors of 45991 and 46002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45991 and 46002.

How to find the GCF of 45991 and 46002?

We will first find the prime factorization of 45991 and 46002. After we will calculate the factors of 45991 and 46002 and find the biggest common factor number .

Step-1: Prime Factorization of 45991

Prime factors of 45991 are 11, 37, 113. Prime factorization of 45991 in exponential form is:

45991 = 11¹ × 37¹ × 113¹

Step-2: 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-3: Factors of 45991

List of positive integer factors of 45991 that divides 45991 without a remainder.

1, 11, 37, 113, 407, 1243, 4181

Step-4: Factors of 46002

List of positive integer factors of 46002 that divides 45991 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45991 and 46002. The biggest common factor number is the GCF number.
So the greatest common factor 45991 and 46002 is 11.

Also check out the Least Common Multiple of 45991 and 46002