What is the Greatest Common Factor of 86021 and 86034?

Greatest common factor (GCF) of 86021 and 86034 is 13.

GCF(86021,86034) = 13

We will now calculate the prime factors of 86021 and 86034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86021 and 86034.

How to find the GCF of 86021 and 86034?

We will first find the prime factorization of 86021 and 86034. After we will calculate the factors of 86021 and 86034 and find the biggest common factor number .

Step-1: Prime Factorization of 86021

Prime factors of 86021 are 13, 509. Prime factorization of 86021 in exponential form is:

86021 = 13² × 509¹

Step-2: Prime Factorization of 86034

Prime factors of 86034 are 2, 3, 13, 1103. Prime factorization of 86034 in exponential form is:

86034 = 2¹ × 3¹ × 13¹ × 1103¹

Step-3: Factors of 86021

List of positive integer factors of 86021 that divides 86021 without a remainder.

1, 13, 169, 509, 6617

Step-4: Factors of 86034

List of positive integer factors of 86034 that divides 86021 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1103, 2206, 3309, 6618, 14339, 28678, 43017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86021 and 86034. The biggest common factor number is the GCF number.
So the greatest common factor 86021 and 86034 is 13.

Also check out the Least Common Multiple of 86021 and 86034