What is the Greatest Common Factor of 35036 and 35052?

Greatest common factor (GCF) of 35036 and 35052 is 4.

GCF(35036,35052) = 4

We will now calculate the prime factors of 35036 and 35052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35036 and 35052.

How to find the GCF of 35036 and 35052?

We will first find the prime factorization of 35036 and 35052. After we will calculate the factors of 35036 and 35052 and find the biggest common factor number .

Step-1: Prime Factorization of 35036

Prime factors of 35036 are 2, 19, 461. Prime factorization of 35036 in exponential form is:

35036 = 2² × 19¹ × 461¹

Step-2: Prime Factorization of 35052

Prime factors of 35052 are 2, 3, 23, 127. Prime factorization of 35052 in exponential form is:

35052 = 2² × 3¹ × 23¹ × 127¹

Step-3: Factors of 35036

List of positive integer factors of 35036 that divides 35036 without a remainder.

1, 2, 4, 19, 38, 76, 461, 922, 1844, 8759, 17518

Step-4: Factors of 35052

List of positive integer factors of 35052 that divides 35036 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 127, 138, 254, 276, 381, 508, 762, 1524, 2921, 5842, 8763, 11684, 17526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35036 and 35052. The biggest common factor number is the GCF number.
So the greatest common factor 35036 and 35052 is 4.

Also check out the Least Common Multiple of 35036 and 35052