What is the Greatest Common Factor of 69984 and 69989?

Greatest common factor (GCF) of 69984 and 69989 is 1.

GCF(69984,69989) = 1

We will now calculate the prime factors of 69984 and 69989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69984 and 69989.

How to find the GCF of 69984 and 69989?

We will first find the prime factorization of 69984 and 69989. After we will calculate the factors of 69984 and 69989 and find the biggest common factor number .

Step-1: Prime Factorization of 69984

Prime factors of 69984 are 2, 3. Prime factorization of 69984 in exponential form is:

69984 = 2⁵ × 3⁷

Step-2: 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-3: Factors of 69984

List of positive integer factors of 69984 that divides 69984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 729, 864, 972, 1296, 1458, 1944, 2187, 2592, 2916, 3888, 4374, 5832, 7776, 8748, 11664, 17496, 23328, 34992

Step-4: Factors of 69989

List of positive integer factors of 69989 that divides 69984 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69984 and 69989. The biggest common factor number is the GCF number.
So the greatest common factor 69984 and 69989 is 1.

Also check out the Least Common Multiple of 69984 and 69989