What is the Greatest Common Factor of 61045 and 61056?

Greatest common factor (GCF) of 61045 and 61056 is 1.

GCF(61045,61056) = 1

We will now calculate the prime factors of 61045 and 61056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61045 and 61056.

How to find the GCF of 61045 and 61056?

We will first find the prime factorization of 61045 and 61056. After we will calculate the factors of 61045 and 61056 and find the biggest common factor number .

Step-1: Prime Factorization of 61045

Prime factors of 61045 are 5, 29, 421. Prime factorization of 61045 in exponential form is:

61045 = 5¹ × 29¹ × 421¹

Step-2: 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-3: Factors of 61045

List of positive integer factors of 61045 that divides 61045 without a remainder.

1, 5, 29, 145, 421, 2105, 12209

Step-4: Factors of 61056

List of positive integer factors of 61056 that divides 61045 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61045 and 61056. The biggest common factor number is the GCF number.
So the greatest common factor 61045 and 61056 is 1.

Also check out the Least Common Multiple of 61045 and 61056