What is the Greatest Common Factor of 76840 and 76860?

Greatest common factor (GCF) of 76840 and 76860 is 20.

GCF(76840,76860) = 20

We will now calculate the prime factors of 76840 and 76860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76840 and 76860.

How to find the GCF of 76840 and 76860?

We will first find the prime factorization of 76840 and 76860. After we will calculate the factors of 76840 and 76860 and find the biggest common factor number .

Step-1: Prime Factorization of 76840

Prime factors of 76840 are 2, 5, 17, 113. Prime factorization of 76840 in exponential form is:

76840 = 2³ × 5¹ × 17¹ × 113¹

Step-2: Prime Factorization of 76860

Prime factors of 76860 are 2, 3, 5, 7, 61. Prime factorization of 76860 in exponential form is:

76860 = 2² × 3² × 5¹ × 7¹ × 61¹

Step-3: Factors of 76840

List of positive integer factors of 76840 that divides 76840 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 113, 136, 170, 226, 340, 452, 565, 680, 904, 1130, 1921, 2260, 3842, 4520, 7684, 9605, 15368, 19210, 38420

Step-4: Factors of 76860

List of positive integer factors of 76860 that divides 76840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 61, 63, 70, 84, 90, 105, 122, 126, 140, 180, 183, 210, 244, 252, 305, 315, 366, 420, 427, 549, 610, 630, 732, 854, 915, 1098, 1220, 1260, 1281, 1708, 1830, 2135, 2196, 2562, 2745, 3660, 3843, 4270, 5124, 5490, 6405, 7686, 8540, 10980, 12810, 15372, 19215, 25620, 38430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76840 and 76860. The biggest common factor number is the GCF number.
So the greatest common factor 76840 and 76860 is 20.

Also check out the Least Common Multiple of 76840 and 76860