What is the Greatest Common Factor of 69824 and 69830?

Greatest common factor (GCF) of 69824 and 69830 is 2.

GCF(69824,69830) = 2

We will now calculate the prime factors of 69824 and 69830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69824 and 69830.

How to find the GCF of 69824 and 69830?

We will first find the prime factorization of 69824 and 69830. After we will calculate the factors of 69824 and 69830 and find the biggest common factor number .

Step-1: Prime Factorization of 69824

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

69824 = 2⁶ × 1091¹

Step-2: Prime Factorization of 69830

Prime factors of 69830 are 2, 5, 6983. Prime factorization of 69830 in exponential form is:

69830 = 2¹ × 5¹ × 6983¹

Step-3: Factors of 69824

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

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

Step-4: Factors of 69830

List of positive integer factors of 69830 that divides 69824 without a remainder.

1, 2, 5, 10, 6983, 13966, 34915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69824 and 69830. The biggest common factor number is the GCF number.
So the greatest common factor 69824 and 69830 is 2.

Also check out the Least Common Multiple of 69824 and 69830