What is the Greatest Common Factor of 83058 and 83070?

Greatest common factor (GCF) of 83058 and 83070 is 6.

GCF(83058,83070) = 6

We will now calculate the prime factors of 83058 and 83070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83058 and 83070.

How to find the GCF of 83058 and 83070?

We will first find the prime factorization of 83058 and 83070. After we will calculate the factors of 83058 and 83070 and find the biggest common factor number .

Step-1: Prime Factorization of 83058

Prime factors of 83058 are 2, 3, 109, 127. Prime factorization of 83058 in exponential form is:

83058 = 2¹ × 3¹ × 109¹ × 127¹

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 83058

List of positive integer factors of 83058 that divides 83058 without a remainder.

1, 2, 3, 6, 109, 127, 218, 254, 327, 381, 654, 762, 13843, 27686, 41529

Step-4: Factors of 83070

List of positive integer factors of 83070 that divides 83058 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 83058 and 83070. The biggest common factor number is the GCF number.
So the greatest common factor 83058 and 83070 is 6.

Also check out the Least Common Multiple of 83058 and 83070