What is the Greatest Common Factor of 61249 and 61256?

Greatest common factor (GCF) of 61249 and 61256 is 1.

GCF(61249,61256) = 1

We will now calculate the prime factors of 61249 and 61256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61249 and 61256.

How to find the GCF of 61249 and 61256?

We will first find the prime factorization of 61249 and 61256. After we will calculate the factors of 61249 and 61256 and find the biggest common factor number .

Step-1: Prime Factorization of 61249

Prime factors of 61249 are 23, 2663. Prime factorization of 61249 in exponential form is:

61249 = 23¹ × 2663¹

Step-2: Prime Factorization of 61256

Prime factors of 61256 are 2, 13, 19, 31. Prime factorization of 61256 in exponential form is:

61256 = 2³ × 13¹ × 19¹ × 31¹

Step-3: Factors of 61249

List of positive integer factors of 61249 that divides 61249 without a remainder.

1, 23, 2663

Step-4: Factors of 61256

List of positive integer factors of 61256 that divides 61249 without a remainder.

1, 2, 4, 8, 13, 19, 26, 31, 38, 52, 62, 76, 104, 124, 152, 247, 248, 403, 494, 589, 806, 988, 1178, 1612, 1976, 2356, 3224, 4712, 7657, 15314, 30628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61249 and 61256. The biggest common factor number is the GCF number.
So the greatest common factor 61249 and 61256 is 1.

Also check out the Least Common Multiple of 61249 and 61256