What is the Greatest Common Factor of 69548 and 69566?

Greatest common factor (GCF) of 69548 and 69566 is 2.

GCF(69548,69566) = 2

We will now calculate the prime factors of 69548 and 69566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69548 and 69566.

How to find the GCF of 69548 and 69566?

We will first find the prime factorization of 69548 and 69566. After we will calculate the factors of 69548 and 69566 and find the biggest common factor number .

Step-1: Prime Factorization of 69548

Prime factors of 69548 are 2, 17387. Prime factorization of 69548 in exponential form is:

69548 = 2² × 17387¹

Step-2: Prime Factorization of 69566

Prime factors of 69566 are 2, 7, 4969. Prime factorization of 69566 in exponential form is:

69566 = 2¹ × 7¹ × 4969¹

Step-3: Factors of 69548

List of positive integer factors of 69548 that divides 69548 without a remainder.

1, 2, 4, 17387, 34774

Step-4: Factors of 69566

List of positive integer factors of 69566 that divides 69548 without a remainder.

1, 2, 7, 14, 4969, 9938, 34783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69548 and 69566. The biggest common factor number is the GCF number.
So the greatest common factor 69548 and 69566 is 2.

Also check out the Least Common Multiple of 69548 and 69566