What is the Greatest Common Factor of 76986 and 77006?

Greatest common factor (GCF) of 76986 and 77006 is 2.

GCF(76986,77006) = 2

We will now calculate the prime factors of 76986 and 77006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76986 and 77006.

How to find the GCF of 76986 and 77006?

We will first find the prime factorization of 76986 and 77006. After we will calculate the factors of 76986 and 77006 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 77006

Prime factors of 77006 are 2, 139, 277. Prime factorization of 77006 in exponential form is:

77006 = 2¹ × 139¹ × 277¹

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 77006

List of positive integer factors of 77006 that divides 76986 without a remainder.

1, 2, 139, 277, 278, 554, 38503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76986 and 77006. The biggest common factor number is the GCF number.
So the greatest common factor 76986 and 77006 is 2.

Also check out the Least Common Multiple of 76986 and 77006