What is the Greatest Common Factor of 83070 and 83075?

Greatest common factor (GCF) of 83070 and 83075 is 5.

GCF(83070,83075) = 5

We will now calculate the prime factors of 83070 and 83075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83070 and 83075.

How to find the GCF of 83070 and 83075?

We will first find the prime factorization of 83070 and 83075. After we will calculate the factors of 83070 and 83075 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83075

Prime factors of 83075 are 5, 3323. Prime factorization of 83075 in exponential form is:

83075 = 5² × 3323¹

Step-3: Factors of 83070

List of positive integer factors of 83070 that divides 83070 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

Step-4: Factors of 83075

List of positive integer factors of 83075 that divides 83070 without a remainder.

1, 5, 25, 3323, 16615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83070 and 83075. The biggest common factor number is the GCF number.
So the greatest common factor 83070 and 83075 is 5.

Also check out the Least Common Multiple of 83070 and 83075