What is the Greatest Common Factor of 61347 and 61360?

Greatest common factor (GCF) of 61347 and 61360 is 13.

GCF(61347,61360) = 13

We will now calculate the prime factors of 61347 and 61360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61347 and 61360.

How to find the GCF of 61347 and 61360?

We will first find the prime factorization of 61347 and 61360. After we will calculate the factors of 61347 and 61360 and find the biggest common factor number .

Step-1: Prime Factorization of 61347

Prime factors of 61347 are 3, 11, 13. Prime factorization of 61347 in exponential form is:

61347 = 3¹ × 11² × 13²

Step-2: Prime Factorization of 61360

Prime factors of 61360 are 2, 5, 13, 59. Prime factorization of 61360 in exponential form is:

61360 = 2⁴ × 5¹ × 13¹ × 59¹

Step-3: Factors of 61347

List of positive integer factors of 61347 that divides 61347 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 169, 363, 429, 507, 1573, 1859, 4719, 5577, 20449

Step-4: Factors of 61360

List of positive integer factors of 61360 that divides 61347 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 59, 65, 80, 104, 118, 130, 208, 236, 260, 295, 472, 520, 590, 767, 944, 1040, 1180, 1534, 2360, 3068, 3835, 4720, 6136, 7670, 12272, 15340, 30680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61347 and 61360. The biggest common factor number is the GCF number.
So the greatest common factor 61347 and 61360 is 13.

Also check out the Least Common Multiple of 61347 and 61360