What is the Greatest Common Factor of 69224 and 69230?

Greatest common factor (GCF) of 69224 and 69230 is 2.

GCF(69224,69230) = 2

We will now calculate the prime factors of 69224 and 69230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69224 and 69230.

How to find the GCF of 69224 and 69230?

We will first find the prime factorization of 69224 and 69230. After we will calculate the factors of 69224 and 69230 and find the biggest common factor number .

Step-1: Prime Factorization of 69224

Prime factors of 69224 are 2, 17, 509. Prime factorization of 69224 in exponential form is:

69224 = 2³ × 17¹ × 509¹

Step-2: Prime Factorization of 69230

Prime factors of 69230 are 2, 5, 7, 23, 43. Prime factorization of 69230 in exponential form is:

69230 = 2¹ × 5¹ × 7¹ × 23¹ × 43¹

Step-3: Factors of 69224

List of positive integer factors of 69224 that divides 69224 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 509, 1018, 2036, 4072, 8653, 17306, 34612

Step-4: Factors of 69230

List of positive integer factors of 69230 that divides 69224 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 43, 46, 70, 86, 115, 161, 215, 230, 301, 322, 430, 602, 805, 989, 1505, 1610, 1978, 3010, 4945, 6923, 9890, 13846, 34615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69224 and 69230. The biggest common factor number is the GCF number.
So the greatest common factor 69224 and 69230 is 2.

Also check out the Least Common Multiple of 69224 and 69230