What is the Greatest Common Factor of 86520 and 86534?

Greatest common factor (GCF) of 86520 and 86534 is 14.

GCF(86520,86534) = 14

We will now calculate the prime factors of 86520 and 86534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86520 and 86534.

How to find the GCF of 86520 and 86534?

We will first find the prime factorization of 86520 and 86534. After we will calculate the factors of 86520 and 86534 and find the biggest common factor number .

Step-1: Prime Factorization of 86520

Prime factors of 86520 are 2, 3, 5, 7, 103. Prime factorization of 86520 in exponential form is:

86520 = 2³ × 3¹ × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 86534

Prime factors of 86534 are 2, 7, 883. Prime factorization of 86534 in exponential form is:

86534 = 2¹ × 7² × 883¹

Step-3: Factors of 86520

List of positive integer factors of 86520 that divides 86520 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 103, 105, 120, 140, 168, 206, 210, 280, 309, 412, 420, 515, 618, 721, 824, 840, 1030, 1236, 1442, 1545, 2060, 2163, 2472, 2884, 3090, 3605, 4120, 4326, 5768, 6180, 7210, 8652, 10815, 12360, 14420, 17304, 21630, 28840, 43260

Step-4: Factors of 86534

List of positive integer factors of 86534 that divides 86520 without a remainder.

1, 2, 7, 14, 49, 98, 883, 1766, 6181, 12362, 43267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86520 and 86534. The biggest common factor number is the GCF number.
So the greatest common factor 86520 and 86534 is 14.

Also check out the Least Common Multiple of 86520 and 86534