What is the Greatest Common Factor of 34996 and 35015?

Greatest common factor (GCF) of 34996 and 35015 is 1.

GCF(34996,35015) = 1

We will now calculate the prime factors of 34996 and 35015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34996 and 35015.

How to find the GCF of 34996 and 35015?

We will first find the prime factorization of 34996 and 35015. After we will calculate the factors of 34996 and 35015 and find the biggest common factor number .

Step-1: Prime Factorization of 34996

Prime factors of 34996 are 2, 13, 673. Prime factorization of 34996 in exponential form is:

34996 = 2² × 13¹ × 673¹

Step-2: Prime Factorization of 35015

Prime factors of 35015 are 5, 47, 149. Prime factorization of 35015 in exponential form is:

35015 = 5¹ × 47¹ × 149¹

Step-3: Factors of 34996

List of positive integer factors of 34996 that divides 34996 without a remainder.

1, 2, 4, 13, 26, 52, 673, 1346, 2692, 8749, 17498

Step-4: Factors of 35015

List of positive integer factors of 35015 that divides 34996 without a remainder.

1, 5, 47, 149, 235, 745, 7003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34996 and 35015. The biggest common factor number is the GCF number.
So the greatest common factor 34996 and 35015 is 1.

Also check out the Least Common Multiple of 34996 and 35015