What is the Greatest Common Factor of 69996 and 70015?

Greatest common factor (GCF) of 69996 and 70015 is 19.

GCF(69996,70015) = 19

We will now calculate the prime factors of 69996 and 70015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69996 and 70015.

How to find the GCF of 69996 and 70015?

We will first find the prime factorization of 69996 and 70015. After we will calculate the factors of 69996 and 70015 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 70015

Prime factors of 70015 are 5, 11, 19, 67. Prime factorization of 70015 in exponential form is:

70015 = 5¹ × 11¹ × 19¹ × 67¹

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 70015

List of positive integer factors of 70015 that divides 69996 without a remainder.

1, 5, 11, 19, 55, 67, 95, 209, 335, 737, 1045, 1273, 3685, 6365, 14003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69996 and 70015. The biggest common factor number is the GCF number.
So the greatest common factor 69996 and 70015 is 19.

Also check out the Least Common Multiple of 69996 and 70015