What is the Greatest Common Factor of 69813 and 69824?

Greatest common factor (GCF) of 69813 and 69824 is 1.

GCF(69813,69824) = 1

We will now calculate the prime factors of 69813 and 69824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69813 and 69824.

How to find the GCF of 69813 and 69824?

We will first find the prime factorization of 69813 and 69824. After we will calculate the factors of 69813 and 69824 and find the biggest common factor number .

Step-1: Prime Factorization of 69813

Prime factors of 69813 are 3, 7757. Prime factorization of 69813 in exponential form is:

69813 = 3² × 7757¹

Step-2: Prime Factorization of 69824

Prime factors of 69824 are 2, 1091. Prime factorization of 69824 in exponential form is:

69824 = 2⁶ × 1091¹

Step-3: Factors of 69813

List of positive integer factors of 69813 that divides 69813 without a remainder.

1, 3, 9, 7757, 23271

Step-4: Factors of 69824

List of positive integer factors of 69824 that divides 69813 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1091, 2182, 4364, 8728, 17456, 34912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69813 and 69824. The biggest common factor number is the GCF number.
So the greatest common factor 69813 and 69824 is 1.

Also check out the Least Common Multiple of 69813 and 69824