What is the Greatest Common Factor of 34762 and 34769?

Greatest common factor (GCF) of 34762 and 34769 is 7.

GCF(34762,34769) = 7

We will now calculate the prime factors of 34762 and 34769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34762 and 34769.

How to find the GCF of 34762 and 34769?

We will first find the prime factorization of 34762 and 34769. After we will calculate the factors of 34762 and 34769 and find the biggest common factor number .

Step-1: Prime Factorization of 34762

Prime factors of 34762 are 2, 7, 13, 191. Prime factorization of 34762 in exponential form is:

34762 = 2¹ × 7¹ × 13¹ × 191¹

Step-2: Prime Factorization of 34769

Prime factors of 34769 are 7, 4967. Prime factorization of 34769 in exponential form is:

34769 = 7¹ × 4967¹

Step-3: Factors of 34762

List of positive integer factors of 34762 that divides 34762 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 191, 382, 1337, 2483, 2674, 4966, 17381

Step-4: Factors of 34769

List of positive integer factors of 34769 that divides 34762 without a remainder.

1, 7, 4967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34762 and 34769. The biggest common factor number is the GCF number.
So the greatest common factor 34762 and 34769 is 7.

Also check out the Least Common Multiple of 34762 and 34769