What is the Greatest Common Factor of 61380 and 61388?

Greatest common factor (GCF) of 61380 and 61388 is 4.

GCF(61380,61388) = 4

We will now calculate the prime factors of 61380 and 61388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61380 and 61388.

How to find the GCF of 61380 and 61388?

We will first find the prime factorization of 61380 and 61388. After we will calculate the factors of 61380 and 61388 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 61388

Prime factors of 61388 are 2, 103, 149. Prime factorization of 61388 in exponential form is:

61388 = 2² × 103¹ × 149¹

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 61388

List of positive integer factors of 61388 that divides 61380 without a remainder.

1, 2, 4, 103, 149, 206, 298, 412, 596, 15347, 30694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61380 and 61388. The biggest common factor number is the GCF number.
So the greatest common factor 61380 and 61388 is 4.

Also check out the Least Common Multiple of 61380 and 61388