What is the Greatest Common Factor of 35210 and 35222?

Greatest common factor (GCF) of 35210 and 35222 is 2.

GCF(35210,35222) = 2

We will now calculate the prime factors of 35210 and 35222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35210 and 35222.

How to find the GCF of 35210 and 35222?

We will first find the prime factorization of 35210 and 35222. After we will calculate the factors of 35210 and 35222 and find the biggest common factor number .

Step-1: Prime Factorization of 35210

Prime factors of 35210 are 2, 5, 7, 503. Prime factorization of 35210 in exponential form is:

35210 = 2¹ × 5¹ × 7¹ × 503¹

Step-2: Prime Factorization of 35222

Prime factors of 35222 are 2, 11, 1601. Prime factorization of 35222 in exponential form is:

35222 = 2¹ × 11¹ × 1601¹

Step-3: Factors of 35210

List of positive integer factors of 35210 that divides 35210 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 503, 1006, 2515, 3521, 5030, 7042, 17605

Step-4: Factors of 35222

List of positive integer factors of 35222 that divides 35210 without a remainder.

1, 2, 11, 22, 1601, 3202, 17611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35210 and 35222. The biggest common factor number is the GCF number.
So the greatest common factor 35210 and 35222 is 2.

Also check out the Least Common Multiple of 35210 and 35222