What is the Greatest Common Factor of 69632 and 69648?

Greatest common factor (GCF) of 69632 and 69648 is 16.

GCF(69632,69648) = 16

We will now calculate the prime factors of 69632 and 69648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69632 and 69648.

How to find the GCF of 69632 and 69648?

We will first find the prime factorization of 69632 and 69648. After we will calculate the factors of 69632 and 69648 and find the biggest common factor number .

Step-1: Prime Factorization of 69632

Prime factors of 69632 are 2, 17. Prime factorization of 69632 in exponential form is:

69632 = 2¹² × 17¹

Step-2: 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-3: Factors of 69632

List of positive integer factors of 69632 that divides 69632 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1024, 1088, 2048, 2176, 4096, 4352, 8704, 17408, 34816

Step-4: Factors of 69648

List of positive integer factors of 69648 that divides 69632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69632 and 69648. The biggest common factor number is the GCF number.
So the greatest common factor 69632 and 69648 is 16.

Also check out the Least Common Multiple of 69632 and 69648