What is the Greatest Common Factor of 69648 and 69652?

Greatest common factor (GCF) of 69648 and 69652 is 4.

GCF(69648,69652) = 4

We will now calculate the prime factors of 69648 and 69652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69648 and 69652.

How to find the GCF of 69648 and 69652?

We will first find the prime factorization of 69648 and 69652. After we will calculate the factors of 69648 and 69652 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 69652

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

69652 = 2² × 11¹ × 1583¹

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 69652

List of positive integer factors of 69652 that divides 69648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69648 and 69652. The biggest common factor number is the GCF number.
So the greatest common factor 69648 and 69652 is 4.

Also check out the Least Common Multiple of 69648 and 69652