What is the Greatest Common Factor of 70750 and 70770?

Greatest common factor (GCF) of 70750 and 70770 is 10.

GCF(70750,70770) = 10

We will now calculate the prime factors of 70750 and 70770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70750 and 70770.

How to find the GCF of 70750 and 70770?

We will first find the prime factorization of 70750 and 70770. After we will calculate the factors of 70750 and 70770 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 70770

Prime factors of 70770 are 2, 3, 5, 7, 337. Prime factorization of 70770 in exponential form is:

70770 = 2¹ × 3¹ × 5¹ × 7¹ × 337¹

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 70770

List of positive integer factors of 70770 that divides 70750 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 337, 674, 1011, 1685, 2022, 2359, 3370, 4718, 5055, 7077, 10110, 11795, 14154, 23590, 35385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70750 and 70770. The biggest common factor number is the GCF number.
So the greatest common factor 70750 and 70770 is 10.

Also check out the Least Common Multiple of 70750 and 70770