What is the Greatest Common Factor of 35936 and 35948?

Greatest common factor (GCF) of 35936 and 35948 is 4.

GCF(35936,35948) = 4

We will now calculate the prime factors of 35936 and 35948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35936 and 35948.

How to find the GCF of 35936 and 35948?

We will first find the prime factorization of 35936 and 35948. After we will calculate the factors of 35936 and 35948 and find the biggest common factor number .

Step-1: Prime Factorization of 35936

Prime factors of 35936 are 2, 1123. Prime factorization of 35936 in exponential form is:

35936 = 2⁵ × 1123¹

Step-2: 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-3: Factors of 35936

List of positive integer factors of 35936 that divides 35936 without a remainder.

1, 2, 4, 8, 16, 32, 1123, 2246, 4492, 8984, 17968

Step-4: Factors of 35948

List of positive integer factors of 35948 that divides 35936 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35936 and 35948. The biggest common factor number is the GCF number.
So the greatest common factor 35936 and 35948 is 4.

Also check out the Least Common Multiple of 35936 and 35948