What is the Greatest Common Factor of 69224 and 69237?

Greatest common factor (GCF) of 69224 and 69237 is 1.

GCF(69224,69237) = 1

We will now calculate the prime factors of 69224 and 69237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69224 and 69237.

How to find the GCF of 69224 and 69237?

We will first find the prime factorization of 69224 and 69237. After we will calculate the factors of 69224 and 69237 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 69237

Prime factors of 69237 are 3, 7, 157. Prime factorization of 69237 in exponential form is:

69237 = 3² × 7² × 157¹

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 69237

List of positive integer factors of 69237 that divides 69224 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 157, 441, 471, 1099, 1413, 3297, 7693, 9891, 23079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69224 and 69237. The biggest common factor number is the GCF number.
So the greatest common factor 69224 and 69237 is 1.

Also check out the Least Common Multiple of 69224 and 69237