What is the Greatest Common Factor of 35138 and 35148?

Greatest common factor (GCF) of 35138 and 35148 is 2.

GCF(35138,35148) = 2

We will now calculate the prime factors of 35138 and 35148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35138 and 35148.

How to find the GCF of 35138 and 35148?

We will first find the prime factorization of 35138 and 35148. After we will calculate the factors of 35138 and 35148 and find the biggest common factor number .

Step-1: Prime Factorization of 35138

Prime factors of 35138 are 2, 17569. Prime factorization of 35138 in exponential form is:

35138 = 2¹ × 17569¹

Step-2: Prime Factorization of 35148

Prime factors of 35148 are 2, 3, 29, 101. Prime factorization of 35148 in exponential form is:

35148 = 2² × 3¹ × 29¹ × 101¹

Step-3: Factors of 35138

List of positive integer factors of 35138 that divides 35138 without a remainder.

1, 2, 17569

Step-4: Factors of 35148

List of positive integer factors of 35148 that divides 35138 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 101, 116, 174, 202, 303, 348, 404, 606, 1212, 2929, 5858, 8787, 11716, 17574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35138 and 35148. The biggest common factor number is the GCF number.
So the greatest common factor 35138 and 35148 is 2.

Also check out the Least Common Multiple of 35138 and 35148