What is the Greatest Common Factor of 69642 and 69658?

Greatest common factor (GCF) of 69642 and 69658 is 2.

GCF(69642,69658) = 2

We will now calculate the prime factors of 69642 and 69658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69642 and 69658.

How to find the GCF of 69642 and 69658?

We will first find the prime factorization of 69642 and 69658. After we will calculate the factors of 69642 and 69658 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 69658

Prime factors of 69658 are 2, 29, 1201. Prime factorization of 69658 in exponential form is:

69658 = 2¹ × 29¹ × 1201¹

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 69658

List of positive integer factors of 69658 that divides 69642 without a remainder.

1, 2, 29, 58, 1201, 2402, 34829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69642 and 69658. The biggest common factor number is the GCF number.
So the greatest common factor 69642 and 69658 is 2.

Also check out the Least Common Multiple of 69642 and 69658