What is the Greatest Common Factor of 69036 and 69056?

Greatest common factor (GCF) of 69036 and 69056 is 4.

GCF(69036,69056) = 4

We will now calculate the prime factors of 69036 and 69056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69036 and 69056.

How to find the GCF of 69036 and 69056?

We will first find the prime factorization of 69036 and 69056. After we will calculate the factors of 69036 and 69056 and find the biggest common factor number .

Step-1: Prime Factorization of 69036

Prime factors of 69036 are 2, 3, 11, 523. Prime factorization of 69036 in exponential form is:

69036 = 2² × 3¹ × 11¹ × 523¹

Step-2: 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-3: Factors of 69036

List of positive integer factors of 69036 that divides 69036 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 523, 1046, 1569, 2092, 3138, 5753, 6276, 11506, 17259, 23012, 34518

Step-4: Factors of 69056

List of positive integer factors of 69056 that divides 69036 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69036 and 69056. The biggest common factor number is the GCF number.
So the greatest common factor 69036 and 69056 is 4.

Also check out the Least Common Multiple of 69036 and 69056