What is the Greatest Common Factor of 69224 and 69240?

Greatest common factor (GCF) of 69224 and 69240 is 8.

GCF(69224,69240) = 8

We will now calculate the prime factors of 69224 and 69240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69224 and 69240.

How to find the GCF of 69224 and 69240?

We will first find the prime factorization of 69224 and 69240. After we will calculate the factors of 69224 and 69240 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 69240

Prime factors of 69240 are 2, 3, 5, 577. Prime factorization of 69240 in exponential form is:

69240 = 2³ × 3¹ × 5¹ × 577¹

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 69240

List of positive integer factors of 69240 that divides 69224 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 577, 1154, 1731, 2308, 2885, 3462, 4616, 5770, 6924, 8655, 11540, 13848, 17310, 23080, 34620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69224 and 69240. The biggest common factor number is the GCF number.
So the greatest common factor 69224 and 69240 is 8.

Also check out the Least Common Multiple of 69224 and 69240