What is the Greatest Common Factor of 59764 and 59782?

Greatest common factor (GCF) of 59764 and 59782 is 2.

GCF(59764,59782) = 2

We will now calculate the prime factors of 59764 and 59782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59764 and 59782.

How to find the GCF of 59764 and 59782?

We will first find the prime factorization of 59764 and 59782. After we will calculate the factors of 59764 and 59782 and find the biggest common factor number .

Step-1: Prime Factorization of 59764

Prime factors of 59764 are 2, 67, 223. Prime factorization of 59764 in exponential form is:

59764 = 2² × 67¹ × 223¹

Step-2: Prime Factorization of 59782

Prime factors of 59782 are 2, 71, 421. Prime factorization of 59782 in exponential form is:

59782 = 2¹ × 71¹ × 421¹

Step-3: Factors of 59764

List of positive integer factors of 59764 that divides 59764 without a remainder.

1, 2, 4, 67, 134, 223, 268, 446, 892, 14941, 29882

Step-4: Factors of 59782

List of positive integer factors of 59782 that divides 59764 without a remainder.

1, 2, 71, 142, 421, 842, 29891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59764 and 59782. The biggest common factor number is the GCF number.
So the greatest common factor 59764 and 59782 is 2.

Also check out the Least Common Multiple of 59764 and 59782