What is the Greatest Common Factor of 76972 and 76986?

Greatest common factor (GCF) of 76972 and 76986 is 14.

GCF(76972,76986) = 14

We will now calculate the prime factors of 76972 and 76986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76972 and 76986.

How to find the GCF of 76972 and 76986?

We will first find the prime factorization of 76972 and 76986. After we will calculate the factors of 76972 and 76986 and find the biggest common factor number .

Step-1: Prime Factorization of 76972

Prime factors of 76972 are 2, 7, 2749. Prime factorization of 76972 in exponential form is:

76972 = 2² × 7¹ × 2749¹

Step-2: 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-3: Factors of 76972

List of positive integer factors of 76972 that divides 76972 without a remainder.

1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486

Step-4: Factors of 76986

List of positive integer factors of 76986 that divides 76972 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76972 and 76986. The biggest common factor number is the GCF number.
So the greatest common factor 76972 and 76986 is 14.

Also check out the Least Common Multiple of 76972 and 76986