What is the Greatest Common Factor of 59748 and 59753?

Greatest common factor (GCF) of 59748 and 59753 is 1.

GCF(59748,59753) = 1

We will now calculate the prime factors of 59748 and 59753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59748 and 59753.

How to find the GCF of 59748 and 59753?

We will first find the prime factorization of 59748 and 59753. After we will calculate the factors of 59748 and 59753 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 59753

Prime factors of 59753 are 59753. Prime factorization of 59753 in exponential form is:

59753 = 59753¹

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 59753

List of positive integer factors of 59753 that divides 59748 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59748 and 59753. The biggest common factor number is the GCF number.
So the greatest common factor 59748 and 59753 is 1.

Also check out the Least Common Multiple of 59748 and 59753