What is the Greatest Common Factor of 70990 and 70995?

Greatest common factor (GCF) of 70990 and 70995 is 5.

GCF(70990,70995) = 5

We will now calculate the prime factors of 70990 and 70995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70990 and 70995.

How to find the GCF of 70990 and 70995?

We will first find the prime factorization of 70990 and 70995. After we will calculate the factors of 70990 and 70995 and find the biggest common factor number .

Step-1: Prime Factorization of 70990

Prime factors of 70990 are 2, 5, 31, 229. Prime factorization of 70990 in exponential form is:

70990 = 2¹ × 5¹ × 31¹ × 229¹

Step-2: Prime Factorization of 70995

Prime factors of 70995 are 3, 5, 4733. Prime factorization of 70995 in exponential form is:

70995 = 3¹ × 5¹ × 4733¹

Step-3: Factors of 70990

List of positive integer factors of 70990 that divides 70990 without a remainder.

1, 2, 5, 10, 31, 62, 155, 229, 310, 458, 1145, 2290, 7099, 14198, 35495

Step-4: Factors of 70995

List of positive integer factors of 70995 that divides 70990 without a remainder.

1, 3, 5, 15, 4733, 14199, 23665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70990 and 70995. The biggest common factor number is the GCF number.
So the greatest common factor 70990 and 70995 is 5.

Also check out the Least Common Multiple of 70990 and 70995