What is the Greatest Common Factor of 35002 and 35019?

Greatest common factor (GCF) of 35002 and 35019 is 1.

GCF(35002,35019) = 1

We will now calculate the prime factors of 35002 and 35019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35002 and 35019.

How to find the GCF of 35002 and 35019?

We will first find the prime factorization of 35002 and 35019. After we will calculate the factors of 35002 and 35019 and find the biggest common factor number .

Step-1: Prime Factorization of 35002

Prime factors of 35002 are 2, 11, 37, 43. Prime factorization of 35002 in exponential form is:

35002 = 2¹ × 11¹ × 37¹ × 43¹

Step-2: Prime Factorization of 35019

Prime factors of 35019 are 3, 1297. Prime factorization of 35019 in exponential form is:

35019 = 3³ × 1297¹

Step-3: Factors of 35002

List of positive integer factors of 35002 that divides 35002 without a remainder.

1, 2, 11, 22, 37, 43, 74, 86, 407, 473, 814, 946, 1591, 3182, 17501

Step-4: Factors of 35019

List of positive integer factors of 35019 that divides 35002 without a remainder.

1, 3, 9, 27, 1297, 3891, 11673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35002 and 35019. The biggest common factor number is the GCF number.
So the greatest common factor 35002 and 35019 is 1.

Also check out the Least Common Multiple of 35002 and 35019