What is the Greatest Common Factor of 59668 and 59682?

Greatest common factor (GCF) of 59668 and 59682 is 14.

GCF(59668,59682) = 14

We will now calculate the prime factors of 59668 and 59682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59668 and 59682.

How to find the GCF of 59668 and 59682?

We will first find the prime factorization of 59668 and 59682. After we will calculate the factors of 59668 and 59682 and find the biggest common factor number .

Step-1: Prime Factorization of 59668

Prime factors of 59668 are 2, 7, 2131. Prime factorization of 59668 in exponential form is:

59668 = 2² × 7¹ × 2131¹

Step-2: Prime Factorization of 59682

Prime factors of 59682 are 2, 3, 7, 29. Prime factorization of 59682 in exponential form is:

59682 = 2¹ × 3¹ × 7³ × 29¹

Step-3: Factors of 59668

List of positive integer factors of 59668 that divides 59668 without a remainder.

1, 2, 4, 7, 14, 28, 2131, 4262, 8524, 14917, 29834

Step-4: Factors of 59682

List of positive integer factors of 59682 that divides 59668 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 343, 406, 609, 686, 1029, 1218, 1421, 2058, 2842, 4263, 8526, 9947, 19894, 29841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59668 and 59682. The biggest common factor number is the GCF number.
So the greatest common factor 59668 and 59682 is 14.

Also check out the Least Common Multiple of 59668 and 59682