What is the Greatest Common Factor of 46095 and 46110?

Greatest common factor (GCF) of 46095 and 46110 is 15.

GCF(46095,46110) = 15

We will now calculate the prime factors of 46095 and 46110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46095 and 46110.

How to find the GCF of 46095 and 46110?

We will first find the prime factorization of 46095 and 46110. After we will calculate the factors of 46095 and 46110 and find the biggest common factor number .

Step-1: Prime Factorization of 46095

Prime factors of 46095 are 3, 5, 7, 439. Prime factorization of 46095 in exponential form is:

46095 = 3¹ × 5¹ × 7¹ × 439¹

Step-2: Prime Factorization of 46110

Prime factors of 46110 are 2, 3, 5, 29, 53. Prime factorization of 46110 in exponential form is:

46110 = 2¹ × 3¹ × 5¹ × 29¹ × 53¹

Step-3: Factors of 46095

List of positive integer factors of 46095 that divides 46095 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 439, 1317, 2195, 3073, 6585, 9219, 15365

Step-4: Factors of 46110

List of positive integer factors of 46110 that divides 46095 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 53, 58, 87, 106, 145, 159, 174, 265, 290, 318, 435, 530, 795, 870, 1537, 1590, 3074, 4611, 7685, 9222, 15370, 23055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46095 and 46110. The biggest common factor number is the GCF number.
So the greatest common factor 46095 and 46110 is 15.

Also check out the Least Common Multiple of 46095 and 46110