What is the Greatest Common Factor of 69642 and 69649?

Greatest common factor (GCF) of 69642 and 69649 is 1.

GCF(69642,69649) = 1

We will now calculate the prime factors of 69642 and 69649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69642 and 69649.

How to find the GCF of 69642 and 69649?

We will first find the prime factorization of 69642 and 69649. After we will calculate the factors of 69642 and 69649 and find the biggest common factor number .

Step-1: Prime Factorization of 69642

Prime factors of 69642 are 2, 3, 53, 73. Prime factorization of 69642 in exponential form is:

69642 = 2¹ × 3² × 53¹ × 73¹

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 69642

List of positive integer factors of 69642 that divides 69642 without a remainder.

1, 2, 3, 6, 9, 18, 53, 73, 106, 146, 159, 219, 318, 438, 477, 657, 954, 1314, 3869, 7738, 11607, 23214, 34821

Step-4: Factors of 69649

List of positive integer factors of 69649 that divides 69642 without a remainder.

1, 17, 241, 289, 4097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69642 and 69649. The biggest common factor number is the GCF number.
So the greatest common factor 69642 and 69649 is 1.

Also check out the Least Common Multiple of 69642 and 69649