What is the Greatest Common Factor of 69996 and 70011?

Greatest common factor (GCF) of 69996 and 70011 is 3.

GCF(69996,70011) = 3

We will now calculate the prime factors of 69996 and 70011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69996 and 70011.

How to find the GCF of 69996 and 70011?

We will first find the prime factorization of 69996 and 70011. After we will calculate the factors of 69996 and 70011 and find the biggest common factor number .

Step-1: Prime Factorization of 69996

Prime factors of 69996 are 2, 3, 19, 307. Prime factorization of 69996 in exponential form is:

69996 = 2² × 3¹ × 19¹ × 307¹

Step-2: Prime Factorization of 70011

Prime factors of 70011 are 3, 2593. Prime factorization of 70011 in exponential form is:

70011 = 3³ × 2593¹

Step-3: Factors of 69996

List of positive integer factors of 69996 that divides 69996 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 307, 614, 921, 1228, 1842, 3684, 5833, 11666, 17499, 23332, 34998

Step-4: Factors of 70011

List of positive integer factors of 70011 that divides 69996 without a remainder.

1, 3, 9, 27, 2593, 7779, 23337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69996 and 70011. The biggest common factor number is the GCF number.
So the greatest common factor 69996 and 70011 is 3.

Also check out the Least Common Multiple of 69996 and 70011