What is the Greatest Common Factor of 35119 and 35133?

Greatest common factor (GCF) of 35119 and 35133 is 7.

GCF(35119,35133) = 7

We will now calculate the prime factors of 35119 and 35133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35119 and 35133.

How to find the GCF of 35119 and 35133?

We will first find the prime factorization of 35119 and 35133. After we will calculate the factors of 35119 and 35133 and find the biggest common factor number .

Step-1: Prime Factorization of 35119

Prime factors of 35119 are 7, 29, 173. Prime factorization of 35119 in exponential form is:

35119 = 7¹ × 29¹ × 173¹

Step-2: Prime Factorization of 35133

Prime factors of 35133 are 3, 7, 239. Prime factorization of 35133 in exponential form is:

35133 = 3¹ × 7² × 239¹

Step-3: Factors of 35119

List of positive integer factors of 35119 that divides 35119 without a remainder.

1, 7, 29, 173, 203, 1211, 5017

Step-4: Factors of 35133

List of positive integer factors of 35133 that divides 35119 without a remainder.

1, 3, 7, 21, 49, 147, 239, 717, 1673, 5019, 11711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35119 and 35133. The biggest common factor number is the GCF number.
So the greatest common factor 35119 and 35133 is 7.

Also check out the Least Common Multiple of 35119 and 35133