What is the Greatest Common Factor of 46750 and 46770?

Greatest common factor (GCF) of 46750 and 46770 is 10.

GCF(46750,46770) = 10

We will now calculate the prime factors of 46750 and 46770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46750 and 46770.

How to find the GCF of 46750 and 46770?

We will first find the prime factorization of 46750 and 46770. After we will calculate the factors of 46750 and 46770 and find the biggest common factor number .

Step-1: Prime Factorization of 46750

Prime factors of 46750 are 2, 5, 11, 17. Prime factorization of 46750 in exponential form is:

46750 = 2¹ × 5³ × 11¹ × 17¹

Step-2: Prime Factorization of 46770

Prime factors of 46770 are 2, 3, 5, 1559. Prime factorization of 46770 in exponential form is:

46770 = 2¹ × 3¹ × 5¹ × 1559¹

Step-3: Factors of 46750

List of positive integer factors of 46750 that divides 46750 without a remainder.

1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 125, 170, 187, 250, 275, 374, 425, 550, 850, 935, 1375, 1870, 2125, 2750, 4250, 4675, 9350, 23375

Step-4: Factors of 46770

List of positive integer factors of 46770 that divides 46750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1559, 3118, 4677, 7795, 9354, 15590, 23385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46750 and 46770. The biggest common factor number is the GCF number.
So the greatest common factor 46750 and 46770 is 10.

Also check out the Least Common Multiple of 46750 and 46770