What is the Greatest Common Factor of 76986 and 77003?

Greatest common factor (GCF) of 76986 and 77003 is 1.

GCF(76986,77003) = 1

We will now calculate the prime factors of 76986 and 77003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76986 and 77003.

How to find the GCF of 76986 and 77003?

We will first find the prime factorization of 76986 and 77003. After we will calculate the factors of 76986 and 77003 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 77003

Prime factors of 77003 are 77003. Prime factorization of 77003 in exponential form is:

77003 = 77003¹

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 77003

List of positive integer factors of 77003 that divides 76986 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76986 and 77003. The biggest common factor number is the GCF number.
So the greatest common factor 76986 and 77003 is 1.

Also check out the Least Common Multiple of 76986 and 77003