What is the Greatest Common Factor of 69652 and 69663?

Greatest common factor (GCF) of 69652 and 69663 is 11.

GCF(69652,69663) = 11

We will now calculate the prime factors of 69652 and 69663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69652 and 69663.

How to find the GCF of 69652 and 69663?

We will first find the prime factorization of 69652 and 69663. After we will calculate the factors of 69652 and 69663 and find the biggest common factor number .

Step-1: Prime Factorization of 69652

Prime factors of 69652 are 2, 11, 1583. Prime factorization of 69652 in exponential form is:

69652 = 2² × 11¹ × 1583¹

Step-2: Prime Factorization of 69663

Prime factors of 69663 are 3, 11, 2111. Prime factorization of 69663 in exponential form is:

69663 = 3¹ × 11¹ × 2111¹

Step-3: Factors of 69652

List of positive integer factors of 69652 that divides 69652 without a remainder.

1, 2, 4, 11, 22, 44, 1583, 3166, 6332, 17413, 34826

Step-4: Factors of 69663

List of positive integer factors of 69663 that divides 69652 without a remainder.

1, 3, 11, 33, 2111, 6333, 23221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69652 and 69663. The biggest common factor number is the GCF number.
So the greatest common factor 69652 and 69663 is 11.

Also check out the Least Common Multiple of 69652 and 69663