What is the Greatest Common Factor of 35814 and 35830?

Greatest common factor (GCF) of 35814 and 35830 is 2.

GCF(35814,35830) = 2

We will now calculate the prime factors of 35814 and 35830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35814 and 35830.

How to find the GCF of 35814 and 35830?

We will first find the prime factorization of 35814 and 35830. After we will calculate the factors of 35814 and 35830 and find the biggest common factor number .

Step-1: Prime Factorization of 35814

Prime factors of 35814 are 2, 3, 47, 127. Prime factorization of 35814 in exponential form is:

35814 = 2¹ × 3¹ × 47¹ × 127¹

Step-2: Prime Factorization of 35830

Prime factors of 35830 are 2, 5, 3583. Prime factorization of 35830 in exponential form is:

35830 = 2¹ × 5¹ × 3583¹

Step-3: Factors of 35814

List of positive integer factors of 35814 that divides 35814 without a remainder.

1, 2, 3, 6, 47, 94, 127, 141, 254, 282, 381, 762, 5969, 11938, 17907

Step-4: Factors of 35830

List of positive integer factors of 35830 that divides 35814 without a remainder.

1, 2, 5, 10, 3583, 7166, 17915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35814 and 35830. The biggest common factor number is the GCF number.
So the greatest common factor 35814 and 35830 is 2.

Also check out the Least Common Multiple of 35814 and 35830