What is the Greatest Common Factor of 86584 and 86604?

Greatest common factor (GCF) of 86584 and 86604 is 4.

GCF(86584,86604) = 4

We will now calculate the prime factors of 86584 and 86604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86584 and 86604.

How to find the GCF of 86584 and 86604?

We will first find the prime factorization of 86584 and 86604. After we will calculate the factors of 86584 and 86604 and find the biggest common factor number .

Step-1: Prime Factorization of 86584

Prime factors of 86584 are 2, 79, 137. Prime factorization of 86584 in exponential form is:

86584 = 2³ × 79¹ × 137¹

Step-2: Prime Factorization of 86604

Prime factors of 86604 are 2, 3, 7, 1031. Prime factorization of 86604 in exponential form is:

86604 = 2² × 3¹ × 7¹ × 1031¹

Step-3: Factors of 86584

List of positive integer factors of 86584 that divides 86584 without a remainder.

1, 2, 4, 8, 79, 137, 158, 274, 316, 548, 632, 1096, 10823, 21646, 43292

Step-4: Factors of 86604

List of positive integer factors of 86604 that divides 86584 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1031, 2062, 3093, 4124, 6186, 7217, 12372, 14434, 21651, 28868, 43302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86584 and 86604. The biggest common factor number is the GCF number.
So the greatest common factor 86584 and 86604 is 4.

Also check out the Least Common Multiple of 86584 and 86604