What is the Greatest Common Factor of 61360 and 61373?

Greatest common factor (GCF) of 61360 and 61373 is 13.

GCF(61360,61373) = 13

We will now calculate the prime factors of 61360 and 61373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61360 and 61373.

How to find the GCF of 61360 and 61373?

We will first find the prime factorization of 61360 and 61373. After we will calculate the factors of 61360 and 61373 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 61373

Prime factors of 61373 are 13, 4721. Prime factorization of 61373 in exponential form is:

61373 = 13¹ × 4721¹

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 61373

List of positive integer factors of 61373 that divides 61360 without a remainder.

1, 13, 4721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61360 and 61373. The biggest common factor number is the GCF number.
So the greatest common factor 61360 and 61373 is 13.

Also check out the Least Common Multiple of 61360 and 61373