What is the Greatest Common Factor of 69035 and 69045?

Greatest common factor (GCF) of 69035 and 69045 is 5.

GCF(69035,69045) = 5

We will now calculate the prime factors of 69035 and 69045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69035 and 69045.

How to find the GCF of 69035 and 69045?

We will first find the prime factorization of 69035 and 69045. After we will calculate the factors of 69035 and 69045 and find the biggest common factor number .

Step-1: Prime Factorization of 69035

Prime factors of 69035 are 5, 13807. Prime factorization of 69035 in exponential form is:

69035 = 5¹ × 13807¹

Step-2: Prime Factorization of 69045

Prime factors of 69045 are 3, 5, 4603. Prime factorization of 69045 in exponential form is:

69045 = 3¹ × 5¹ × 4603¹

Step-3: Factors of 69035

List of positive integer factors of 69035 that divides 69035 without a remainder.

1, 5, 13807

Step-4: Factors of 69045

List of positive integer factors of 69045 that divides 69035 without a remainder.

1, 3, 5, 15, 4603, 13809, 23015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69035 and 69045. The biggest common factor number is the GCF number.
So the greatest common factor 69035 and 69045 is 5.

Also check out the Least Common Multiple of 69035 and 69045