What is the Greatest Common Factor of 61380 and 61397?

Greatest common factor (GCF) of 61380 and 61397 is 1.

GCF(61380,61397) = 1

We will now calculate the prime factors of 61380 and 61397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61380 and 61397.

How to find the GCF of 61380 and 61397?

We will first find the prime factorization of 61380 and 61397. After we will calculate the factors of 61380 and 61397 and find the biggest common factor number .

Step-1: Prime Factorization of 61380

Prime factors of 61380 are 2, 3, 5, 11, 31. Prime factorization of 61380 in exponential form is:

61380 = 2² × 3² × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 61397

Prime factors of 61397 are 7, 179. Prime factorization of 61397 in exponential form is:

61397 = 7³ × 179¹

Step-3: Factors of 61380

List of positive integer factors of 61380 that divides 61380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 31, 33, 36, 44, 45, 55, 60, 62, 66, 90, 93, 99, 110, 124, 132, 155, 165, 180, 186, 198, 220, 279, 310, 330, 341, 372, 396, 465, 495, 558, 620, 660, 682, 930, 990, 1023, 1116, 1364, 1395, 1705, 1860, 1980, 2046, 2790, 3069, 3410, 4092, 5115, 5580, 6138, 6820, 10230, 12276, 15345, 20460, 30690

Step-4: Factors of 61397

List of positive integer factors of 61397 that divides 61380 without a remainder.

1, 7, 49, 179, 343, 1253, 8771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61380 and 61397. The biggest common factor number is the GCF number.
So the greatest common factor 61380 and 61397 is 1.

Also check out the Least Common Multiple of 61380 and 61397