What is the Greatest Common Factor of 83052 and 83070?

Greatest common factor (GCF) of 83052 and 83070 is 18.

GCF(83052,83070) = 18

We will now calculate the prime factors of 83052 and 83070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83052 and 83070.

How to find the GCF of 83052 and 83070?

We will first find the prime factorization of 83052 and 83070. After we will calculate the factors of 83052 and 83070 and find the biggest common factor number .

Step-1: Prime Factorization of 83052

Prime factors of 83052 are 2, 3, 769. Prime factorization of 83052 in exponential form is:

83052 = 2² × 3³ × 769¹

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 83052

List of positive integer factors of 83052 that divides 83052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 769, 1538, 2307, 3076, 4614, 6921, 9228, 13842, 20763, 27684, 41526

Step-4: Factors of 83070

List of positive integer factors of 83070 that divides 83052 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 83052 and 83070. The biggest common factor number is the GCF number.
So the greatest common factor 83052 and 83070 is 18.

Also check out the Least Common Multiple of 83052 and 83070