What is the Greatest Common Factor of 35190 and 35206?

Greatest common factor (GCF) of 35190 and 35206 is 2.

GCF(35190,35206) = 2

We will now calculate the prime factors of 35190 and 35206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35190 and 35206.

How to find the GCF of 35190 and 35206?

We will first find the prime factorization of 35190 and 35206. After we will calculate the factors of 35190 and 35206 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35206

Prime factors of 35206 are 2, 29, 607. Prime factorization of 35206 in exponential form is:

35206 = 2¹ × 29¹ × 607¹

Step-3: Factors of 35190

List of positive integer factors of 35190 that divides 35190 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

Step-4: Factors of 35206

List of positive integer factors of 35206 that divides 35190 without a remainder.

1, 2, 29, 58, 607, 1214, 17603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35190 and 35206. The biggest common factor number is the GCF number.
So the greatest common factor 35190 and 35206 is 2.

Also check out the Least Common Multiple of 35190 and 35206