What is the Greatest Common Factor of 69989 and 70006?

Greatest common factor (GCF) of 69989 and 70006 is 17.

GCF(69989,70006) = 17

We will now calculate the prime factors of 69989 and 70006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69989 and 70006.

How to find the GCF of 69989 and 70006?

We will first find the prime factorization of 69989 and 70006. After we will calculate the factors of 69989 and 70006 and find the biggest common factor number .

Step-1: Prime Factorization of 69989

Prime factors of 69989 are 17, 23, 179. Prime factorization of 69989 in exponential form is:

69989 = 17¹ × 23¹ × 179¹

Step-2: Prime Factorization of 70006

Prime factors of 70006 are 2, 17, 29, 71. Prime factorization of 70006 in exponential form is:

70006 = 2¹ × 17¹ × 29¹ × 71¹

Step-3: Factors of 69989

List of positive integer factors of 69989 that divides 69989 without a remainder.

1, 17, 23, 179, 391, 3043, 4117

Step-4: Factors of 70006

List of positive integer factors of 70006 that divides 69989 without a remainder.

1, 2, 17, 29, 34, 58, 71, 142, 493, 986, 1207, 2059, 2414, 4118, 35003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69989 and 70006. The biggest common factor number is the GCF number.
So the greatest common factor 69989 and 70006 is 17.

Also check out the Least Common Multiple of 69989 and 70006