What is the Greatest Common Factor of 2035 and 2045?

Greatest common factor (GCF) of 2035 and 2045 is 5.

GCF(2035,2045) = 5

We will now calculate the prime factors of 2035 and 2045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2035 and 2045.

How to find the GCF of 2035 and 2045?

We will first find the prime factorization of 2035 and 2045. After we will calculate the factors of 2035 and 2045 and find the biggest common factor number .

Step-1: Prime Factorization of 2035

Prime factors of 2035 are 5, 11, 37. Prime factorization of 2035 in exponential form is:

2035 = 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 2045

Prime factors of 2045 are 5, 409. Prime factorization of 2045 in exponential form is:

2045 = 5¹ × 409¹

Step-3: Factors of 2035

List of positive integer factors of 2035 that divides 2035 without a remainder.

1, 5, 11, 37, 55, 185, 407

Step-4: Factors of 2045

List of positive integer factors of 2045 that divides 2035 without a remainder.

1, 5, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2035 and 2045. The biggest common factor number is the GCF number.
So the greatest common factor 2035 and 2045 is 5.

Also check out the Least Common Multiple of 2035 and 2045