What is the Greatest Common Factor of 59748 and 59767?

Greatest common factor (GCF) of 59748 and 59767 is 1.

GCF(59748,59767) = 1

We will now calculate the prime factors of 59748 and 59767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59748 and 59767.

How to find the GCF of 59748 and 59767?

We will first find the prime factorization of 59748 and 59767. After we will calculate the factors of 59748 and 59767 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 59767

Prime factors of 59767 are 59, 1013. Prime factorization of 59767 in exponential form is:

59767 = 59¹ × 1013¹

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 59767

List of positive integer factors of 59767 that divides 59748 without a remainder.

1, 59, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59748 and 59767. The biggest common factor number is the GCF number.
So the greatest common factor 59748 and 59767 is 1.

Also check out the Least Common Multiple of 59748 and 59767