What is the Greatest Common Factor of 70732 and 70750?

Greatest common factor (GCF) of 70732 and 70750 is 2.

GCF(70732,70750) = 2

We will now calculate the prime factors of 70732 and 70750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70732 and 70750.

How to find the GCF of 70732 and 70750?

We will first find the prime factorization of 70732 and 70750. After we will calculate the factors of 70732 and 70750 and find the biggest common factor number .

Step-1: Prime Factorization of 70732

Prime factors of 70732 are 2, 17683. Prime factorization of 70732 in exponential form is:

70732 = 2² × 17683¹

Step-2: Prime Factorization of 70750

Prime factors of 70750 are 2, 5, 283. Prime factorization of 70750 in exponential form is:

70750 = 2¹ × 5³ × 283¹

Step-3: Factors of 70732

List of positive integer factors of 70732 that divides 70732 without a remainder.

1, 2, 4, 17683, 35366

Step-4: Factors of 70750

List of positive integer factors of 70750 that divides 70732 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 283, 566, 1415, 2830, 7075, 14150, 35375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70732 and 70750. The biggest common factor number is the GCF number.
So the greatest common factor 70732 and 70750 is 2.

Also check out the Least Common Multiple of 70732 and 70750