What is the Greatest Common Factor of 46730 and 46750?

Greatest common factor (GCF) of 46730 and 46750 is 10.

GCF(46730,46750) = 10

We will now calculate the prime factors of 46730 and 46750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46730 and 46750.

How to find the GCF of 46730 and 46750?

We will first find the prime factorization of 46730 and 46750. After we will calculate the factors of 46730 and 46750 and find the biggest common factor number .

Step-1: Prime Factorization of 46730

Prime factors of 46730 are 2, 5, 4673. Prime factorization of 46730 in exponential form is:

46730 = 2¹ × 5¹ × 4673¹

Step-2: 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-3: Factors of 46730

List of positive integer factors of 46730 that divides 46730 without a remainder.

1, 2, 5, 10, 4673, 9346, 23365

Step-4: Factors of 46750

List of positive integer factors of 46750 that divides 46730 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46730 and 46750. The biggest common factor number is the GCF number.
So the greatest common factor 46730 and 46750 is 10.

Also check out the Least Common Multiple of 46730 and 46750