What is the Greatest Common Factor of 34748 and 34757?

Greatest common factor (GCF) of 34748 and 34757 is 1.

GCF(34748,34757) = 1

We will now calculate the prime factors of 34748 and 34757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34748 and 34757.

How to find the GCF of 34748 and 34757?

We will first find the prime factorization of 34748 and 34757. After we will calculate the factors of 34748 and 34757 and find the biggest common factor number .

Step-1: Prime Factorization of 34748

Prime factors of 34748 are 2, 7, 17, 73. Prime factorization of 34748 in exponential form is:

34748 = 2² × 7¹ × 17¹ × 73¹

Step-2: Prime Factorization of 34757

Prime factors of 34757 are 34757. Prime factorization of 34757 in exponential form is:

34757 = 34757¹

Step-3: Factors of 34748

List of positive integer factors of 34748 that divides 34748 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 73, 119, 146, 238, 292, 476, 511, 1022, 1241, 2044, 2482, 4964, 8687, 17374

Step-4: Factors of 34757

List of positive integer factors of 34757 that divides 34748 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34748 and 34757. The biggest common factor number is the GCF number.
So the greatest common factor 34748 and 34757 is 1.

Also check out the Least Common Multiple of 34748 and 34757