What is the Greatest Common Factor of 69648 and 69668?

Greatest common factor (GCF) of 69648 and 69668 is 4.

GCF(69648,69668) = 4

We will now calculate the prime factors of 69648 and 69668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69648 and 69668.

How to find the GCF of 69648 and 69668?

We will first find the prime factorization of 69648 and 69668. After we will calculate the factors of 69648 and 69668 and find the biggest common factor number .

Step-1: Prime Factorization of 69648

Prime factors of 69648 are 2, 3, 1451. Prime factorization of 69648 in exponential form is:

69648 = 2⁴ × 3¹ × 1451¹

Step-2: Prime Factorization of 69668

Prime factors of 69668 are 2, 17417. Prime factorization of 69668 in exponential form is:

69668 = 2² × 17417¹

Step-3: Factors of 69648

List of positive integer factors of 69648 that divides 69648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1451, 2902, 4353, 5804, 8706, 11608, 17412, 23216, 34824

Step-4: Factors of 69668

List of positive integer factors of 69668 that divides 69648 without a remainder.

1, 2, 4, 17417, 34834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69648 and 69668. The biggest common factor number is the GCF number.
So the greatest common factor 69648 and 69668 is 4.

Also check out the Least Common Multiple of 69648 and 69668