What is the Greatest Common Factor of 61251 and 61268?

Greatest common factor (GCF) of 61251 and 61268 is 17.

GCF(61251,61268) = 17

We will now calculate the prime factors of 61251 and 61268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61251 and 61268.

How to find the GCF of 61251 and 61268?

We will first find the prime factorization of 61251 and 61268. After we will calculate the factors of 61251 and 61268 and find the biggest common factor number .

Step-1: Prime Factorization of 61251

Prime factors of 61251 are 3, 17, 1201. Prime factorization of 61251 in exponential form is:

61251 = 3¹ × 17¹ × 1201¹

Step-2: Prime Factorization of 61268

Prime factors of 61268 are 2, 17, 53. Prime factorization of 61268 in exponential form is:

61268 = 2² × 17² × 53¹

Step-3: Factors of 61251

List of positive integer factors of 61251 that divides 61251 without a remainder.

1, 3, 17, 51, 1201, 3603, 20417

Step-4: Factors of 61268

List of positive integer factors of 61268 that divides 61251 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 289, 578, 901, 1156, 1802, 3604, 15317, 30634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61251 and 61268. The biggest common factor number is the GCF number.
So the greatest common factor 61251 and 61268 is 17.

Also check out the Least Common Multiple of 61251 and 61268