What is the Greatest Common Factor of 46665 and 46670?

Greatest common factor (GCF) of 46665 and 46670 is 5.

GCF(46665,46670) = 5

We will now calculate the prime factors of 46665 and 46670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46665 and 46670.

How to find the GCF of 46665 and 46670?

We will first find the prime factorization of 46665 and 46670. After we will calculate the factors of 46665 and 46670 and find the biggest common factor number .

Step-1: Prime Factorization of 46665

Prime factors of 46665 are 3, 5, 17, 61. Prime factorization of 46665 in exponential form is:

46665 = 3² × 5¹ × 17¹ × 61¹

Step-2: Prime Factorization of 46670

Prime factors of 46670 are 2, 5, 13, 359. Prime factorization of 46670 in exponential form is:

46670 = 2¹ × 5¹ × 13¹ × 359¹

Step-3: Factors of 46665

List of positive integer factors of 46665 that divides 46665 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 61, 85, 153, 183, 255, 305, 549, 765, 915, 1037, 2745, 3111, 5185, 9333, 15555

Step-4: Factors of 46670

List of positive integer factors of 46670 that divides 46665 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 359, 718, 1795, 3590, 4667, 9334, 23335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46665 and 46670. The biggest common factor number is the GCF number.
So the greatest common factor 46665 and 46670 is 5.

Also check out the Least Common Multiple of 46665 and 46670