What is the Greatest Common Factor of 35170 and 35190?

Greatest common factor (GCF) of 35170 and 35190 is 10.

GCF(35170,35190) = 10

We will now calculate the prime factors of 35170 and 35190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35170 and 35190.

How to find the GCF of 35170 and 35190?

We will first find the prime factorization of 35170 and 35190. After we will calculate the factors of 35170 and 35190 and find the biggest common factor number .

Step-1: Prime Factorization of 35170

Prime factors of 35170 are 2, 5, 3517. Prime factorization of 35170 in exponential form is:

35170 = 2¹ × 5¹ × 3517¹

Step-2: Prime Factorization of 35190

Prime factors of 35190 are 2, 3, 5, 17, 23. Prime factorization of 35190 in exponential form is:

35190 = 2¹ × 3² × 5¹ × 17¹ × 23¹

Step-3: Factors of 35170

List of positive integer factors of 35170 that divides 35170 without a remainder.

1, 2, 5, 10, 3517, 7034, 17585

Step-4: Factors of 35190

List of positive integer factors of 35190 that divides 35170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 23, 30, 34, 45, 46, 51, 69, 85, 90, 102, 115, 138, 153, 170, 207, 230, 255, 306, 345, 391, 414, 510, 690, 765, 782, 1035, 1173, 1530, 1955, 2070, 2346, 3519, 3910, 5865, 7038, 11730, 17595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35170 and 35190. The biggest common factor number is the GCF number.
So the greatest common factor 35170 and 35190 is 10.

Also check out the Least Common Multiple of 35170 and 35190