What is the Greatest Common Factor of 83645 and 83664?

Greatest common factor (GCF) of 83645 and 83664 is 1.

GCF(83645,83664) = 1

We will now calculate the prime factors of 83645 and 83664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83645 and 83664.

How to find the GCF of 83645 and 83664?

We will first find the prime factorization of 83645 and 83664. After we will calculate the factors of 83645 and 83664 and find the biggest common factor number .

Step-1: Prime Factorization of 83645

Prime factors of 83645 are 5, 16729. Prime factorization of 83645 in exponential form is:

83645 = 5¹ × 16729¹

Step-2: Prime Factorization of 83664

Prime factors of 83664 are 2, 3, 7, 83. Prime factorization of 83664 in exponential form is:

83664 = 2⁴ × 3² × 7¹ × 83¹

Step-3: Factors of 83645

List of positive integer factors of 83645 that divides 83645 without a remainder.

1, 5, 16729

Step-4: Factors of 83664

List of positive integer factors of 83664 that divides 83645 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 83, 84, 112, 126, 144, 166, 168, 249, 252, 332, 336, 498, 504, 581, 664, 747, 996, 1008, 1162, 1328, 1494, 1743, 1992, 2324, 2988, 3486, 3984, 4648, 5229, 5976, 6972, 9296, 10458, 11952, 13944, 20916, 27888, 41832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83645 and 83664. The biggest common factor number is the GCF number.
So the greatest common factor 83645 and 83664 is 1.

Also check out the Least Common Multiple of 83645 and 83664