What is the Greatest Common Factor of 69207 and 69224?

Greatest common factor (GCF) of 69207 and 69224 is 17.

GCF(69207,69224) = 17

We will now calculate the prime factors of 69207 and 69224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69207 and 69224.

How to find the GCF of 69207 and 69224?

We will first find the prime factorization of 69207 and 69224. After we will calculate the factors of 69207 and 69224 and find the biggest common factor number .

Step-1: Prime Factorization of 69207

Prime factors of 69207 are 3, 17, 23, 59. Prime factorization of 69207 in exponential form is:

69207 = 3¹ × 17¹ × 23¹ × 59¹

Step-2: 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-3: Factors of 69207

List of positive integer factors of 69207 that divides 69207 without a remainder.

1, 3, 17, 23, 51, 59, 69, 177, 391, 1003, 1173, 1357, 3009, 4071, 23069

Step-4: Factors of 69224

List of positive integer factors of 69224 that divides 69207 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69207 and 69224. The biggest common factor number is the GCF number.
So the greatest common factor 69207 and 69224 is 17.

Also check out the Least Common Multiple of 69207 and 69224