What is the Greatest Common Factor of 35948 and 35959?

Greatest common factor (GCF) of 35948 and 35959 is 11.

GCF(35948,35959) = 11

We will now calculate the prime factors of 35948 and 35959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35948 and 35959.

How to find the GCF of 35948 and 35959?

We will first find the prime factorization of 35948 and 35959. After we will calculate the factors of 35948 and 35959 and find the biggest common factor number .

Step-1: Prime Factorization of 35948

Prime factors of 35948 are 2, 11, 19, 43. Prime factorization of 35948 in exponential form is:

35948 = 2² × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 35959

Prime factors of 35959 are 7, 11, 467. Prime factorization of 35959 in exponential form is:

35959 = 7¹ × 11¹ × 467¹

Step-3: Factors of 35948

List of positive integer factors of 35948 that divides 35948 without a remainder.

1, 2, 4, 11, 19, 22, 38, 43, 44, 76, 86, 172, 209, 418, 473, 817, 836, 946, 1634, 1892, 3268, 8987, 17974

Step-4: Factors of 35959

List of positive integer factors of 35959 that divides 35948 without a remainder.

1, 7, 11, 77, 467, 3269, 5137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35948 and 35959. The biggest common factor number is the GCF number.
So the greatest common factor 35948 and 35959 is 11.

Also check out the Least Common Multiple of 35948 and 35959