What is the Greatest Common Factor of 35380 and 35390?

Greatest common factor (GCF) of 35380 and 35390 is 10.

GCF(35380,35390) = 10

We will now calculate the prime factors of 35380 and 35390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35380 and 35390.

How to find the GCF of 35380 and 35390?

We will first find the prime factorization of 35380 and 35390. After we will calculate the factors of 35380 and 35390 and find the biggest common factor number .

Step-1: Prime Factorization of 35380

Prime factors of 35380 are 2, 5, 29, 61. Prime factorization of 35380 in exponential form is:

35380 = 2² × 5¹ × 29¹ × 61¹

Step-2: Prime Factorization of 35390

Prime factors of 35390 are 2, 5, 3539. Prime factorization of 35390 in exponential form is:

35390 = 2¹ × 5¹ × 3539¹

Step-3: Factors of 35380

List of positive integer factors of 35380 that divides 35380 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 61, 116, 122, 145, 244, 290, 305, 580, 610, 1220, 1769, 3538, 7076, 8845, 17690

Step-4: Factors of 35390

List of positive integer factors of 35390 that divides 35380 without a remainder.

1, 2, 5, 10, 3539, 7078, 17695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35380 and 35390. The biggest common factor number is the GCF number.
So the greatest common factor 35380 and 35390 is 10.

Also check out the Least Common Multiple of 35380 and 35390