What is the Greatest Common Factor of 35854 and 35867?

Greatest common factor (GCF) of 35854 and 35867 is 13.

GCF(35854,35867) = 13

We will now calculate the prime factors of 35854 and 35867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35854 and 35867.

How to find the GCF of 35854 and 35867?

We will first find the prime factorization of 35854 and 35867. After we will calculate the factors of 35854 and 35867 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 35867

Prime factors of 35867 are 13, 31, 89. Prime factorization of 35867 in exponential form is:

35867 = 13¹ × 31¹ × 89¹

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 35867

List of positive integer factors of 35867 that divides 35854 without a remainder.

1, 13, 31, 89, 403, 1157, 2759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35854 and 35867. The biggest common factor number is the GCF number.
So the greatest common factor 35854 and 35867 is 13.

Also check out the Least Common Multiple of 35854 and 35867