What is the Greatest Common Factor of 69056 and 69074?

Greatest common factor (GCF) of 69056 and 69074 is 2.

GCF(69056,69074) = 2

We will now calculate the prime factors of 69056 and 69074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69056 and 69074.

How to find the GCF of 69056 and 69074?

We will first find the prime factorization of 69056 and 69074. After we will calculate the factors of 69056 and 69074 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 69074

Prime factors of 69074 are 2, 34537. Prime factorization of 69074 in exponential form is:

69074 = 2¹ × 34537¹

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 69074

List of positive integer factors of 69074 that divides 69056 without a remainder.

1, 2, 34537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69056 and 69074. The biggest common factor number is the GCF number.
So the greatest common factor 69056 and 69074 is 2.

Also check out the Least Common Multiple of 69056 and 69074