What is the Greatest Common Factor of 61360 and 61367?

Greatest common factor (GCF) of 61360 and 61367 is 1.

GCF(61360,61367) = 1

We will now calculate the prime factors of 61360 and 61367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61360 and 61367.

How to find the GCF of 61360 and 61367?

We will first find the prime factorization of 61360 and 61367. After we will calculate the factors of 61360 and 61367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61367

Prime factors of 61367 are 109, 563. Prime factorization of 61367 in exponential form is:

61367 = 109¹ × 563¹

Step-3: Factors of 61360

List of positive integer factors of 61360 that divides 61360 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

Step-4: Factors of 61367

List of positive integer factors of 61367 that divides 61360 without a remainder.

1, 109, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61360 and 61367. The biggest common factor number is the GCF number.
So the greatest common factor 61360 and 61367 is 1.

Also check out the Least Common Multiple of 61360 and 61367