What is the Greatest Common Factor of 69025 and 69036?

Greatest common factor (GCF) of 69025 and 69036 is 11.

GCF(69025,69036) = 11

We will now calculate the prime factors of 69025 and 69036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69025 and 69036.

How to find the GCF of 69025 and 69036?

We will first find the prime factorization of 69025 and 69036. After we will calculate the factors of 69025 and 69036 and find the biggest common factor number .

Step-1: Prime Factorization of 69025

Prime factors of 69025 are 5, 11, 251. Prime factorization of 69025 in exponential form is:

69025 = 5² × 11¹ × 251¹

Step-2: Prime Factorization of 69036

Prime factors of 69036 are 2, 3, 11, 523. Prime factorization of 69036 in exponential form is:

69036 = 2² × 3¹ × 11¹ × 523¹

Step-3: Factors of 69025

List of positive integer factors of 69025 that divides 69025 without a remainder.

1, 5, 11, 25, 55, 251, 275, 1255, 2761, 6275, 13805

Step-4: Factors of 69036

List of positive integer factors of 69036 that divides 69025 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 523, 1046, 1569, 2092, 3138, 5753, 6276, 11506, 17259, 23012, 34518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69025 and 69036. The biggest common factor number is the GCF number.
So the greatest common factor 69025 and 69036 is 11.

Also check out the Least Common Multiple of 69025 and 69036