What is the Greatest Common Factor of 69632 and 69649?

Greatest common factor (GCF) of 69632 and 69649 is 17.

GCF(69632,69649) = 17

We will now calculate the prime factors of 69632 and 69649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69632 and 69649.

How to find the GCF of 69632 and 69649?

We will first find the prime factorization of 69632 and 69649. After we will calculate the factors of 69632 and 69649 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 69649

Prime factors of 69649 are 17, 241. Prime factorization of 69649 in exponential form is:

69649 = 17² × 241¹

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 69649

List of positive integer factors of 69649 that divides 69632 without a remainder.

1, 17, 241, 289, 4097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69632 and 69649. The biggest common factor number is the GCF number.
So the greatest common factor 69632 and 69649 is 17.

Also check out the Least Common Multiple of 69632 and 69649