What is the Greatest Common Factor of 83070 and 83076?

Greatest common factor (GCF) of 83070 and 83076 is 6.

GCF(83070,83076) = 6

We will now calculate the prime factors of 83070 and 83076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83070 and 83076.

How to find the GCF of 83070 and 83076?

We will first find the prime factorization of 83070 and 83076. After we will calculate the factors of 83070 and 83076 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 83076

Prime factors of 83076 are 2, 3, 7, 23, 43. Prime factorization of 83076 in exponential form is:

83076 = 2² × 3¹ × 7¹ × 23¹ × 43¹

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 83076

List of positive integer factors of 83076 that divides 83070 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 43, 46, 69, 84, 86, 92, 129, 138, 161, 172, 258, 276, 301, 322, 483, 516, 602, 644, 903, 966, 989, 1204, 1806, 1932, 1978, 2967, 3612, 3956, 5934, 6923, 11868, 13846, 20769, 27692, 41538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83070 and 83076. The biggest common factor number is the GCF number.
So the greatest common factor 83070 and 83076 is 6.

Also check out the Least Common Multiple of 83070 and 83076