What is the Greatest Common Factor of 83451 and 83460?

Greatest common factor (GCF) of 83451 and 83460 is 3.

GCF(83451,83460) = 3

We will now calculate the prime factors of 83451 and 83460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83451 and 83460.

How to find the GCF of 83451 and 83460?

We will first find the prime factorization of 83451 and 83460. After we will calculate the factors of 83451 and 83460 and find the biggest common factor number .

Step-1: Prime Factorization of 83451

Prime factors of 83451 are 3, 27817. Prime factorization of 83451 in exponential form is:

83451 = 3¹ × 27817¹

Step-2: Prime Factorization of 83460

Prime factors of 83460 are 2, 3, 5, 13, 107. Prime factorization of 83460 in exponential form is:

83460 = 2² × 3¹ × 5¹ × 13¹ × 107¹

Step-3: Factors of 83451

List of positive integer factors of 83451 that divides 83451 without a remainder.

1, 3, 27817

Step-4: Factors of 83460

List of positive integer factors of 83460 that divides 83451 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 107, 130, 156, 195, 214, 260, 321, 390, 428, 535, 642, 780, 1070, 1284, 1391, 1605, 2140, 2782, 3210, 4173, 5564, 6420, 6955, 8346, 13910, 16692, 20865, 27820, 41730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83451 and 83460. The biggest common factor number is the GCF number.
So the greatest common factor 83451 and 83460 is 3.

Also check out the Least Common Multiple of 83451 and 83460