What is the Greatest Common Factor of 86380 and 86396?

Greatest common factor (GCF) of 86380 and 86396 is 4.

GCF(86380,86396) = 4

We will now calculate the prime factors of 86380 and 86396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86380 and 86396.

How to find the GCF of 86380 and 86396?

We will first find the prime factorization of 86380 and 86396. After we will calculate the factors of 86380 and 86396 and find the biggest common factor number .

Step-1: Prime Factorization of 86380

Prime factors of 86380 are 2, 5, 7, 617. Prime factorization of 86380 in exponential form is:

86380 = 2² × 5¹ × 7¹ × 617¹

Step-2: Prime Factorization of 86396

Prime factors of 86396 are 2, 21599. Prime factorization of 86396 in exponential form is:

86396 = 2² × 21599¹

Step-3: Factors of 86380

List of positive integer factors of 86380 that divides 86380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 617, 1234, 2468, 3085, 4319, 6170, 8638, 12340, 17276, 21595, 43190

Step-4: Factors of 86396

List of positive integer factors of 86396 that divides 86380 without a remainder.

1, 2, 4, 21599, 43198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86380 and 86396. The biggest common factor number is the GCF number.
So the greatest common factor 86380 and 86396 is 4.

Also check out the Least Common Multiple of 86380 and 86396