What is the Greatest Common Factor of 84535 and 84546?

Greatest common factor (GCF) of 84535 and 84546 is 11.

GCF(84535,84546) = 11

We will now calculate the prime factors of 84535 and 84546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84535 and 84546.

How to find the GCF of 84535 and 84546?

We will first find the prime factorization of 84535 and 84546. After we will calculate the factors of 84535 and 84546 and find the biggest common factor number .

Step-1: Prime Factorization of 84535

Prime factors of 84535 are 5, 11, 29, 53. Prime factorization of 84535 in exponential form is:

84535 = 5¹ × 11¹ × 29¹ × 53¹

Step-2: Prime Factorization of 84546

Prime factors of 84546 are 2, 3, 7, 11, 61. Prime factorization of 84546 in exponential form is:

84546 = 2¹ × 3² × 7¹ × 11¹ × 61¹

Step-3: Factors of 84535

List of positive integer factors of 84535 that divides 84535 without a remainder.

1, 5, 11, 29, 53, 55, 145, 265, 319, 583, 1537, 1595, 2915, 7685, 16907

Step-4: Factors of 84546

List of positive integer factors of 84546 that divides 84535 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 61, 63, 66, 77, 99, 122, 126, 154, 183, 198, 231, 366, 427, 462, 549, 671, 693, 854, 1098, 1281, 1342, 1386, 2013, 2562, 3843, 4026, 4697, 6039, 7686, 9394, 12078, 14091, 28182, 42273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84535 and 84546. The biggest common factor number is the GCF number.
So the greatest common factor 84535 and 84546 is 11.

Also check out the Least Common Multiple of 84535 and 84546