What is the Greatest Common Factor of 84580 and 84588?

Greatest common factor (GCF) of 84580 and 84588 is 4.

GCF(84580,84588) = 4

We will now calculate the prime factors of 84580 and 84588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84580 and 84588.

How to find the GCF of 84580 and 84588?

We will first find the prime factorization of 84580 and 84588. After we will calculate the factors of 84580 and 84588 and find the biggest common factor number .

Step-1: Prime Factorization of 84580

Prime factors of 84580 are 2, 5, 4229. Prime factorization of 84580 in exponential form is:

84580 = 2² × 5¹ × 4229¹

Step-2: Prime Factorization of 84588

Prime factors of 84588 are 2, 3, 7, 19, 53. Prime factorization of 84588 in exponential form is:

84588 = 2² × 3¹ × 7¹ × 19¹ × 53¹

Step-3: Factors of 84580

List of positive integer factors of 84580 that divides 84580 without a remainder.

1, 2, 4, 5, 10, 20, 4229, 8458, 16916, 21145, 42290

Step-4: Factors of 84588

List of positive integer factors of 84588 that divides 84580 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 53, 57, 76, 84, 106, 114, 133, 159, 212, 228, 266, 318, 371, 399, 532, 636, 742, 798, 1007, 1113, 1484, 1596, 2014, 2226, 3021, 4028, 4452, 6042, 7049, 12084, 14098, 21147, 28196, 42294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84580 and 84588. The biggest common factor number is the GCF number.
So the greatest common factor 84580 and 84588 is 4.

Also check out the Least Common Multiple of 84580 and 84588