What is the Greatest Common Factor of 76947 and 76958?

Greatest common factor (GCF) of 76947 and 76958 is 1.

GCF(76947,76958) = 1

We will now calculate the prime factors of 76947 and 76958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76947 and 76958.

How to find the GCF of 76947 and 76958?

We will first find the prime factorization of 76947 and 76958. After we will calculate the factors of 76947 and 76958 and find the biggest common factor number .

Step-1: Prime Factorization of 76947

Prime factors of 76947 are 3, 13, 1973. Prime factorization of 76947 in exponential form is:

76947 = 3¹ × 13¹ × 1973¹

Step-2: Prime Factorization of 76958

Prime factors of 76958 are 2, 7, 23, 239. Prime factorization of 76958 in exponential form is:

76958 = 2¹ × 7¹ × 23¹ × 239¹

Step-3: Factors of 76947

List of positive integer factors of 76947 that divides 76947 without a remainder.

1, 3, 13, 39, 1973, 5919, 25649

Step-4: Factors of 76958

List of positive integer factors of 76958 that divides 76947 without a remainder.

1, 2, 7, 14, 23, 46, 161, 239, 322, 478, 1673, 3346, 5497, 10994, 38479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76947 and 76958. The biggest common factor number is the GCF number.
So the greatest common factor 76947 and 76958 is 1.

Also check out the Least Common Multiple of 76947 and 76958