What is the Greatest Common Factor of 34990 and 35006?

Greatest common factor (GCF) of 34990 and 35006 is 2.

GCF(34990,35006) = 2

We will now calculate the prime factors of 34990 and 35006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34990 and 35006.

How to find the GCF of 34990 and 35006?

We will first find the prime factorization of 34990 and 35006. After we will calculate the factors of 34990 and 35006 and find the biggest common factor number .

Step-1: Prime Factorization of 34990

Prime factors of 34990 are 2, 5, 3499. Prime factorization of 34990 in exponential form is:

34990 = 2¹ × 5¹ × 3499¹

Step-2: Prime Factorization of 35006

Prime factors of 35006 are 2, 23, 761. Prime factorization of 35006 in exponential form is:

35006 = 2¹ × 23¹ × 761¹

Step-3: Factors of 34990

List of positive integer factors of 34990 that divides 34990 without a remainder.

1, 2, 5, 10, 3499, 6998, 17495

Step-4: Factors of 35006

List of positive integer factors of 35006 that divides 34990 without a remainder.

1, 2, 23, 46, 761, 1522, 17503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34990 and 35006. The biggest common factor number is the GCF number.
So the greatest common factor 34990 and 35006 is 2.

Also check out the Least Common Multiple of 34990 and 35006