What is the Greatest Common Factor of 35022 and 35038?

Greatest common factor (GCF) of 35022 and 35038 is 2.

GCF(35022,35038) = 2

We will now calculate the prime factors of 35022 and 35038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35022 and 35038.

How to find the GCF of 35022 and 35038?

We will first find the prime factorization of 35022 and 35038. After we will calculate the factors of 35022 and 35038 and find the biggest common factor number .

Step-1: Prime Factorization of 35022

Prime factors of 35022 are 2, 3, 13, 449. Prime factorization of 35022 in exponential form is:

35022 = 2¹ × 3¹ × 13¹ × 449¹

Step-2: Prime Factorization of 35038

Prime factors of 35038 are 2, 17519. Prime factorization of 35038 in exponential form is:

35038 = 2¹ × 17519¹

Step-3: Factors of 35022

List of positive integer factors of 35022 that divides 35022 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 449, 898, 1347, 2694, 5837, 11674, 17511

Step-4: Factors of 35038

List of positive integer factors of 35038 that divides 35022 without a remainder.

1, 2, 17519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35022 and 35038. The biggest common factor number is the GCF number.
So the greatest common factor 35022 and 35038 is 2.

Also check out the Least Common Multiple of 35022 and 35038