What is the Greatest Common Factor of 35030 and 35042?

Greatest common factor (GCF) of 35030 and 35042 is 2.

GCF(35030,35042) = 2

We will now calculate the prime factors of 35030 and 35042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35030 and 35042.

How to find the GCF of 35030 and 35042?

We will first find the prime factorization of 35030 and 35042. After we will calculate the factors of 35030 and 35042 and find the biggest common factor number .

Step-1: Prime Factorization of 35030

Prime factors of 35030 are 2, 5, 31, 113. Prime factorization of 35030 in exponential form is:

35030 = 2¹ × 5¹ × 31¹ × 113¹

Step-2: Prime Factorization of 35042

Prime factors of 35042 are 2, 7, 2503. Prime factorization of 35042 in exponential form is:

35042 = 2¹ × 7¹ × 2503¹

Step-3: Factors of 35030

List of positive integer factors of 35030 that divides 35030 without a remainder.

1, 2, 5, 10, 31, 62, 113, 155, 226, 310, 565, 1130, 3503, 7006, 17515

Step-4: Factors of 35042

List of positive integer factors of 35042 that divides 35030 without a remainder.

1, 2, 7, 14, 2503, 5006, 17521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35030 and 35042. The biggest common factor number is the GCF number.
So the greatest common factor 35030 and 35042 is 2.

Also check out the Least Common Multiple of 35030 and 35042