What is the Greatest Common Factor of 83496 and 83510?

Greatest common factor (GCF) of 83496 and 83510 is 14.

GCF(83496,83510) = 14

We will now calculate the prime factors of 83496 and 83510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83496 and 83510.

How to find the GCF of 83496 and 83510?

We will first find the prime factorization of 83496 and 83510. After we will calculate the factors of 83496 and 83510 and find the biggest common factor number .

Step-1: Prime Factorization of 83496

Prime factors of 83496 are 2, 3, 7, 71. Prime factorization of 83496 in exponential form is:

83496 = 2³ × 3¹ × 7² × 71¹

Step-2: Prime Factorization of 83510

Prime factors of 83510 are 2, 5, 7, 1193. Prime factorization of 83510 in exponential form is:

83510 = 2¹ × 5¹ × 7¹ × 1193¹

Step-3: Factors of 83496

List of positive integer factors of 83496 that divides 83496 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 71, 84, 98, 142, 147, 168, 196, 213, 284, 294, 392, 426, 497, 568, 588, 852, 994, 1176, 1491, 1704, 1988, 2982, 3479, 3976, 5964, 6958, 10437, 11928, 13916, 20874, 27832, 41748

Step-4: Factors of 83510

List of positive integer factors of 83510 that divides 83496 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1193, 2386, 5965, 8351, 11930, 16702, 41755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83496 and 83510. The biggest common factor number is the GCF number.
So the greatest common factor 83496 and 83510 is 14.

Also check out the Least Common Multiple of 83496 and 83510