What is the Greatest Common Factor of 83065 and 83070?

Greatest common factor (GCF) of 83065 and 83070 is 5.

GCF(83065,83070) = 5

We will now calculate the prime factors of 83065 and 83070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83065 and 83070.

How to find the GCF of 83065 and 83070?

We will first find the prime factorization of 83065 and 83070. After we will calculate the factors of 83065 and 83070 and find the biggest common factor number .

Step-1: Prime Factorization of 83065

Prime factors of 83065 are 5, 37, 449. Prime factorization of 83065 in exponential form is:

83065 = 5¹ × 37¹ × 449¹

Step-2: Prime Factorization of 83070

Prime factors of 83070 are 2, 3, 5, 13, 71. Prime factorization of 83070 in exponential form is:

83070 = 2¹ × 3² × 5¹ × 13¹ × 71¹

Step-3: Factors of 83065

List of positive integer factors of 83065 that divides 83065 without a remainder.

1, 5, 37, 185, 449, 2245, 16613

Step-4: Factors of 83070

List of positive integer factors of 83070 that divides 83065 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 71, 78, 90, 117, 130, 142, 195, 213, 234, 355, 390, 426, 585, 639, 710, 923, 1065, 1170, 1278, 1846, 2130, 2769, 3195, 4615, 5538, 6390, 8307, 9230, 13845, 16614, 27690, 41535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83065 and 83070. The biggest common factor number is the GCF number.
So the greatest common factor 83065 and 83070 is 5.

Also check out the Least Common Multiple of 83065 and 83070