What is the Greatest Common Factor of 83057 and 83070?

Greatest common factor (GCF) of 83057 and 83070 is 13.

GCF(83057,83070) = 13

We will now calculate the prime factors of 83057 and 83070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83057 and 83070.

How to find the GCF of 83057 and 83070?

We will first find the prime factorization of 83057 and 83070. After we will calculate the factors of 83057 and 83070 and find the biggest common factor number .

Step-1: Prime Factorization of 83057

Prime factors of 83057 are 13, 6389. Prime factorization of 83057 in exponential form is:

83057 = 13¹ × 6389¹

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 83057

List of positive integer factors of 83057 that divides 83057 without a remainder.

1, 13, 6389

Step-4: Factors of 83070

List of positive integer factors of 83070 that divides 83057 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 83057 and 83070. The biggest common factor number is the GCF number.
So the greatest common factor 83057 and 83070 is 13.

Also check out the Least Common Multiple of 83057 and 83070