What is the Greatest Common Factor of 69984 and 69992?

Greatest common factor (GCF) of 69984 and 69992 is 8.

GCF(69984,69992) = 8

We will now calculate the prime factors of 69984 and 69992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69984 and 69992.

How to find the GCF of 69984 and 69992?

We will first find the prime factorization of 69984 and 69992. After we will calculate the factors of 69984 and 69992 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 69992

Prime factors of 69992 are 2, 13, 673. Prime factorization of 69992 in exponential form is:

69992 = 2³ × 13¹ × 673¹

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 69992

List of positive integer factors of 69992 that divides 69984 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 673, 1346, 2692, 5384, 8749, 17498, 34996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69984 and 69992. The biggest common factor number is the GCF number.
So the greatest common factor 69984 and 69992 is 8.

Also check out the Least Common Multiple of 69984 and 69992