What is the Greatest Common Factor of 69996 and 70012?

Greatest common factor (GCF) of 69996 and 70012 is 4.

GCF(69996,70012) = 4

We will now calculate the prime factors of 69996 and 70012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69996 and 70012.

How to find the GCF of 69996 and 70012?

We will first find the prime factorization of 69996 and 70012. After we will calculate the factors of 69996 and 70012 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 70012

Prime factors of 70012 are 2, 23, 761. Prime factorization of 70012 in exponential form is:

70012 = 2² × 23¹ × 761¹

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 70012

List of positive integer factors of 70012 that divides 69996 without a remainder.

1, 2, 4, 23, 46, 92, 761, 1522, 3044, 17503, 35006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69996 and 70012. The biggest common factor number is the GCF number.
So the greatest common factor 69996 and 70012 is 4.

Also check out the Least Common Multiple of 69996 and 70012