What is the Greatest Common Factor of 86590 and 86604?

Greatest common factor (GCF) of 86590 and 86604 is 14.

GCF(86590,86604) = 14

We will now calculate the prime factors of 86590 and 86604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86590 and 86604.

How to find the GCF of 86590 and 86604?

We will first find the prime factorization of 86590 and 86604. After we will calculate the factors of 86590 and 86604 and find the biggest common factor number .

Step-1: Prime Factorization of 86590

Prime factors of 86590 are 2, 5, 7, 1237. Prime factorization of 86590 in exponential form is:

86590 = 2¹ × 5¹ × 7¹ × 1237¹

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 86590

List of positive integer factors of 86590 that divides 86590 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1237, 2474, 6185, 8659, 12370, 17318, 43295

Step-4: Factors of 86604

List of positive integer factors of 86604 that divides 86590 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 86590 and 86604. The biggest common factor number is the GCF number.
So the greatest common factor 86590 and 86604 is 14.

Also check out the Least Common Multiple of 86590 and 86604