What is the Greatest Common Factor of 70750 and 70765?

Greatest common factor (GCF) of 70750 and 70765 is 5.

GCF(70750,70765) = 5

We will now calculate the prime factors of 70750 and 70765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70750 and 70765.

How to find the GCF of 70750 and 70765?

We will first find the prime factorization of 70750 and 70765. After we will calculate the factors of 70750 and 70765 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70765

Prime factors of 70765 are 5, 14153. Prime factorization of 70765 in exponential form is:

70765 = 5¹ × 14153¹

Step-3: Factors of 70750

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

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

Step-4: Factors of 70765

List of positive integer factors of 70765 that divides 70750 without a remainder.

1, 5, 14153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70750 and 70765. The biggest common factor number is the GCF number.
So the greatest common factor 70750 and 70765 is 5.

Also check out the Least Common Multiple of 70750 and 70765