What is the Greatest Common Factor of 69056 and 69069?

Greatest common factor (GCF) of 69056 and 69069 is 13.

GCF(69056,69069) = 13

We will now calculate the prime factors of 69056 and 69069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69056 and 69069.

How to find the GCF of 69056 and 69069?

We will first find the prime factorization of 69056 and 69069. After we will calculate the factors of 69056 and 69069 and find the biggest common factor number .

Step-1: Prime Factorization of 69056

Prime factors of 69056 are 2, 13, 83. Prime factorization of 69056 in exponential form is:

69056 = 2⁶ × 13¹ × 83¹

Step-2: Prime Factorization of 69069

Prime factors of 69069 are 3, 7, 11, 13, 23. Prime factorization of 69069 in exponential form is:

69069 = 3¹ × 7¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 69056

List of positive integer factors of 69056 that divides 69056 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 83, 104, 166, 208, 332, 416, 664, 832, 1079, 1328, 2158, 2656, 4316, 5312, 8632, 17264, 34528

Step-4: Factors of 69069

List of positive integer factors of 69069 that divides 69056 without a remainder.

1, 3, 7, 11, 13, 21, 23, 33, 39, 69, 77, 91, 143, 161, 231, 253, 273, 299, 429, 483, 759, 897, 1001, 1771, 2093, 3003, 3289, 5313, 6279, 9867, 23023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69056 and 69069. The biggest common factor number is the GCF number.
So the greatest common factor 69056 and 69069 is 13.

Also check out the Least Common Multiple of 69056 and 69069