What is the Greatest Common Factor of 69530 and 69538?

Greatest common factor (GCF) of 69530 and 69538 is 2.

GCF(69530,69538) = 2

We will now calculate the prime factors of 69530 and 69538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69530 and 69538.

How to find the GCF of 69530 and 69538?

We will first find the prime factorization of 69530 and 69538. After we will calculate the factors of 69530 and 69538 and find the biggest common factor number .

Step-1: Prime Factorization of 69530

Prime factors of 69530 are 2, 5, 17, 409. Prime factorization of 69530 in exponential form is:

69530 = 2¹ × 5¹ × 17¹ × 409¹

Step-2: Prime Factorization of 69538

Prime factors of 69538 are 2, 7, 4967. Prime factorization of 69538 in exponential form is:

69538 = 2¹ × 7¹ × 4967¹

Step-3: Factors of 69530

List of positive integer factors of 69530 that divides 69530 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 409, 818, 2045, 4090, 6953, 13906, 34765

Step-4: Factors of 69538

List of positive integer factors of 69538 that divides 69530 without a remainder.

1, 2, 7, 14, 4967, 9934, 34769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69530 and 69538. The biggest common factor number is the GCF number.
So the greatest common factor 69530 and 69538 is 2.

Also check out the Least Common Multiple of 69530 and 69538