What is the Greatest Common Factor of 59748 and 59762?

Greatest common factor (GCF) of 59748 and 59762 is 2.

GCF(59748,59762) = 2

We will now calculate the prime factors of 59748 and 59762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59748 and 59762.

How to find the GCF of 59748 and 59762?

We will first find the prime factorization of 59748 and 59762. After we will calculate the factors of 59748 and 59762 and find the biggest common factor number .

Step-1: Prime Factorization of 59748

Prime factors of 59748 are 2, 3, 13, 383. Prime factorization of 59748 in exponential form is:

59748 = 2² × 3¹ × 13¹ × 383¹

Step-2: Prime Factorization of 59762

Prime factors of 59762 are 2, 29881. Prime factorization of 59762 in exponential form is:

59762 = 2¹ × 29881¹

Step-3: Factors of 59748

List of positive integer factors of 59748 that divides 59748 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 383, 766, 1149, 1532, 2298, 4596, 4979, 9958, 14937, 19916, 29874

Step-4: Factors of 59762

List of positive integer factors of 59762 that divides 59748 without a remainder.

1, 2, 29881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59748 and 59762. The biggest common factor number is the GCF number.
So the greatest common factor 59748 and 59762 is 2.

Also check out the Least Common Multiple of 59748 and 59762