What is the Greatest Common Factor of 61370 and 61380?

Greatest common factor (GCF) of 61370 and 61380 is 10.

GCF(61370,61380) = 10

We will now calculate the prime factors of 61370 and 61380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61370 and 61380.

How to find the GCF of 61370 and 61380?

We will first find the prime factorization of 61370 and 61380. After we will calculate the factors of 61370 and 61380 and find the biggest common factor number .

Step-1: Prime Factorization of 61370

Prime factors of 61370 are 2, 5, 17, 19. Prime factorization of 61370 in exponential form is:

61370 = 2¹ × 5¹ × 17¹ × 19²

Step-2: 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-3: Factors of 61370

List of positive integer factors of 61370 that divides 61370 without a remainder.

1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 361, 646, 722, 1615, 1805, 3230, 3610, 6137, 12274, 30685

Step-4: Factors of 61380

List of positive integer factors of 61380 that divides 61370 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61370 and 61380. The biggest common factor number is the GCF number.
So the greatest common factor 61370 and 61380 is 10.

Also check out the Least Common Multiple of 61370 and 61380