What is the Greatest Common Factor of 61056 and 61069?

Greatest common factor (GCF) of 61056 and 61069 is 1.

GCF(61056,61069) = 1

We will now calculate the prime factors of 61056 and 61069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61056 and 61069.

How to find the GCF of 61056 and 61069?

We will first find the prime factorization of 61056 and 61069. After we will calculate the factors of 61056 and 61069 and find the biggest common factor number .

Step-1: Prime Factorization of 61056

Prime factors of 61056 are 2, 3, 53. Prime factorization of 61056 in exponential form is:

61056 = 2⁷ × 3² × 53¹

Step-2: Prime Factorization of 61069

Prime factors of 61069 are 173, 353. Prime factorization of 61069 in exponential form is:

61069 = 173¹ × 353¹

Step-3: Factors of 61056

List of positive integer factors of 61056 that divides 61056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 64, 72, 96, 106, 128, 144, 159, 192, 212, 288, 318, 384, 424, 477, 576, 636, 848, 954, 1152, 1272, 1696, 1908, 2544, 3392, 3816, 5088, 6784, 7632, 10176, 15264, 20352, 30528

Step-4: Factors of 61069

List of positive integer factors of 61069 that divides 61056 without a remainder.

1, 173, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61056 and 61069. The biggest common factor number is the GCF number.
So the greatest common factor 61056 and 61069 is 1.

Also check out the Least Common Multiple of 61056 and 61069