What is the Greatest Common Factor of 69648 and 69661?

Greatest common factor (GCF) of 69648 and 69661 is 1.

GCF(69648,69661) = 1

We will now calculate the prime factors of 69648 and 69661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69648 and 69661.

How to find the GCF of 69648 and 69661?

We will first find the prime factorization of 69648 and 69661. After we will calculate the factors of 69648 and 69661 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 69661

Prime factors of 69661 are 69661. Prime factorization of 69661 in exponential form is:

69661 = 69661¹

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 69661

List of positive integer factors of 69661 that divides 69648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69648 and 69661. The biggest common factor number is the GCF number.
So the greatest common factor 69648 and 69661 is 1.

Also check out the Least Common Multiple of 69648 and 69661