What is the Greatest Common Factor of 81060 and 81074?

Greatest common factor (GCF) of 81060 and 81074 is 14.

GCF(81060,81074) = 14

We will now calculate the prime factors of 81060 and 81074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81060 and 81074.

How to find the GCF of 81060 and 81074?

We will first find the prime factorization of 81060 and 81074. After we will calculate the factors of 81060 and 81074 and find the biggest common factor number .

Step-1: Prime Factorization of 81060

Prime factors of 81060 are 2, 3, 5, 7, 193. Prime factorization of 81060 in exponential form is:

81060 = 2² × 3¹ × 5¹ × 7¹ × 193¹

Step-2: Prime Factorization of 81074

Prime factors of 81074 are 2, 7, 5791. Prime factorization of 81074 in exponential form is:

81074 = 2¹ × 7¹ × 5791¹

Step-3: Factors of 81060

List of positive integer factors of 81060 that divides 81060 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 193, 210, 386, 420, 579, 772, 965, 1158, 1351, 1930, 2316, 2702, 2895, 3860, 4053, 5404, 5790, 6755, 8106, 11580, 13510, 16212, 20265, 27020, 40530

Step-4: Factors of 81074

List of positive integer factors of 81074 that divides 81060 without a remainder.

1, 2, 7, 14, 5791, 11582, 40537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81060 and 81074. The biggest common factor number is the GCF number.
So the greatest common factor 81060 and 81074 is 14.

Also check out the Least Common Multiple of 81060 and 81074