What is the Greatest Common Factor of 69982 and 69996?

Greatest common factor (GCF) of 69982 and 69996 is 2.

GCF(69982,69996) = 2

We will now calculate the prime factors of 69982 and 69996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69982 and 69996.

How to find the GCF of 69982 and 69996?

We will first find the prime factorization of 69982 and 69996. After we will calculate the factors of 69982 and 69996 and find the biggest common factor number .

Step-1: Prime Factorization of 69982

Prime factors of 69982 are 2, 11, 3181. Prime factorization of 69982 in exponential form is:

69982 = 2¹ × 11¹ × 3181¹

Step-2: 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-3: Factors of 69982

List of positive integer factors of 69982 that divides 69982 without a remainder.

1, 2, 11, 22, 3181, 6362, 34991

Step-4: Factors of 69996

List of positive integer factors of 69996 that divides 69982 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69982 and 69996. The biggest common factor number is the GCF number.
So the greatest common factor 69982 and 69996 is 2.

Also check out the Least Common Multiple of 69982 and 69996