What is the Greatest Common Factor of 35854 and 35858?

Greatest common factor (GCF) of 35854 and 35858 is 2.

GCF(35854,35858) = 2

We will now calculate the prime factors of 35854 and 35858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35854 and 35858.

How to find the GCF of 35854 and 35858?

We will first find the prime factorization of 35854 and 35858. After we will calculate the factors of 35854 and 35858 and find the biggest common factor number .

Step-1: Prime Factorization of 35854

Prime factors of 35854 are 2, 7, 13, 197. Prime factorization of 35854 in exponential form is:

35854 = 2¹ × 7¹ × 13¹ × 197¹

Step-2: Prime Factorization of 35858

Prime factors of 35858 are 2, 17929. Prime factorization of 35858 in exponential form is:

35858 = 2¹ × 17929¹

Step-3: Factors of 35854

List of positive integer factors of 35854 that divides 35854 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 197, 394, 1379, 2561, 2758, 5122, 17927

Step-4: Factors of 35858

List of positive integer factors of 35858 that divides 35854 without a remainder.

1, 2, 17929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35854 and 35858. The biggest common factor number is the GCF number.
So the greatest common factor 35854 and 35858 is 2.

Also check out the Least Common Multiple of 35854 and 35858