What is the Greatest Common Factor of 69125 and 69135?

Greatest common factor (GCF) of 69125 and 69135 is 5.

GCF(69125,69135) = 5

We will now calculate the prime factors of 69125 and 69135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69125 and 69135.

How to find the GCF of 69125 and 69135?

We will first find the prime factorization of 69125 and 69135. After we will calculate the factors of 69125 and 69135 and find the biggest common factor number .

Step-1: Prime Factorization of 69125

Prime factors of 69125 are 5, 7, 79. Prime factorization of 69125 in exponential form is:

69125 = 5³ × 7¹ × 79¹

Step-2: Prime Factorization of 69135

Prime factors of 69135 are 3, 5, 11, 419. Prime factorization of 69135 in exponential form is:

69135 = 3¹ × 5¹ × 11¹ × 419¹

Step-3: Factors of 69125

List of positive integer factors of 69125 that divides 69125 without a remainder.

1, 5, 7, 25, 35, 79, 125, 175, 395, 553, 875, 1975, 2765, 9875, 13825

Step-4: Factors of 69135

List of positive integer factors of 69135 that divides 69125 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 419, 1257, 2095, 4609, 6285, 13827, 23045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69125 and 69135. The biggest common factor number is the GCF number.
So the greatest common factor 69125 and 69135 is 5.

Also check out the Least Common Multiple of 69125 and 69135