What is the Greatest Common Factor of 69642 and 69662?

Greatest common factor (GCF) of 69642 and 69662 is 2.

GCF(69642,69662) = 2

We will now calculate the prime factors of 69642 and 69662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69642 and 69662.

How to find the GCF of 69642 and 69662?

We will first find the prime factorization of 69642 and 69662. After we will calculate the factors of 69642 and 69662 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 69662

Prime factors of 69662 are 2, 61, 571. Prime factorization of 69662 in exponential form is:

69662 = 2¹ × 61¹ × 571¹

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 69662

List of positive integer factors of 69662 that divides 69642 without a remainder.

1, 2, 61, 122, 571, 1142, 34831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69642 and 69662. The biggest common factor number is the GCF number.
So the greatest common factor 69642 and 69662 is 2.

Also check out the Least Common Multiple of 69642 and 69662