What is the Greatest Common Factor of 35929 and 35948?

Greatest common factor (GCF) of 35929 and 35948 is 19.

GCF(35929,35948) = 19

We will now calculate the prime factors of 35929 and 35948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35929 and 35948.

How to find the GCF of 35929 and 35948?

We will first find the prime factorization of 35929 and 35948. After we will calculate the factors of 35929 and 35948 and find the biggest common factor number .

Step-1: Prime Factorization of 35929

Prime factors of 35929 are 19, 31, 61. Prime factorization of 35929 in exponential form is:

35929 = 19¹ × 31¹ × 61¹

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 35929

List of positive integer factors of 35929 that divides 35929 without a remainder.

1, 19, 31, 61, 589, 1159, 1891

Step-4: Factors of 35948

List of positive integer factors of 35948 that divides 35929 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 35929 and 35948. The biggest common factor number is the GCF number.
So the greatest common factor 35929 and 35948 is 19.

Also check out the Least Common Multiple of 35929 and 35948