What is the Greatest Common Factor of 76986 and 77001?

Greatest common factor (GCF) of 76986 and 77001 is 3.

GCF(76986,77001) = 3

We will now calculate the prime factors of 76986 and 77001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76986 and 77001.

How to find the GCF of 76986 and 77001?

We will first find the prime factorization of 76986 and 77001. After we will calculate the factors of 76986 and 77001 and find the biggest common factor number .

Step-1: Prime Factorization of 76986

Prime factors of 76986 are 2, 3, 7, 13, 47. Prime factorization of 76986 in exponential form is:

76986 = 2¹ × 3² × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 77001

Prime factors of 77001 are 3, 25667. Prime factorization of 77001 in exponential form is:

77001 = 3¹ × 25667¹

Step-3: Factors of 76986

List of positive integer factors of 76986 that divides 76986 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 47, 63, 78, 91, 94, 117, 126, 141, 182, 234, 273, 282, 329, 423, 546, 611, 658, 819, 846, 987, 1222, 1638, 1833, 1974, 2961, 3666, 4277, 5499, 5922, 8554, 10998, 12831, 25662, 38493

Step-4: Factors of 77001

List of positive integer factors of 77001 that divides 76986 without a remainder.

1, 3, 25667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76986 and 77001. The biggest common factor number is the GCF number.
So the greatest common factor 76986 and 77001 is 3.

Also check out the Least Common Multiple of 76986 and 77001