What is the Greatest Common Factor of 83056 and 83070?

Greatest common factor (GCF) of 83056 and 83070 is 2.

GCF(83056,83070) = 2

We will now calculate the prime factors of 83056 and 83070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83056 and 83070.

How to find the GCF of 83056 and 83070?

We will first find the prime factorization of 83056 and 83070. After we will calculate the factors of 83056 and 83070 and find the biggest common factor number .

Step-1: Prime Factorization of 83056

Prime factors of 83056 are 2, 29, 179. Prime factorization of 83056 in exponential form is:

83056 = 2⁴ × 29¹ × 179¹

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 83056

List of positive integer factors of 83056 that divides 83056 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 179, 232, 358, 464, 716, 1432, 2864, 5191, 10382, 20764, 41528

Step-4: Factors of 83070

List of positive integer factors of 83070 that divides 83056 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 83056 and 83070. The biggest common factor number is the GCF number.
So the greatest common factor 83056 and 83070 is 2.

Also check out the Least Common Multiple of 83056 and 83070