What is the Greatest Common Factor of 83450 and 83460?

Greatest common factor (GCF) of 83450 and 83460 is 10.

GCF(83450,83460) = 10

We will now calculate the prime factors of 83450 and 83460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83450 and 83460.

How to find the GCF of 83450 and 83460?

We will first find the prime factorization of 83450 and 83460. After we will calculate the factors of 83450 and 83460 and find the biggest common factor number .

Step-1: Prime Factorization of 83450

Prime factors of 83450 are 2, 5, 1669. Prime factorization of 83450 in exponential form is:

83450 = 2¹ × 5² × 1669¹

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 83450

List of positive integer factors of 83450 that divides 83450 without a remainder.

1, 2, 5, 10, 25, 50, 1669, 3338, 8345, 16690, 41725

Step-4: Factors of 83460

List of positive integer factors of 83460 that divides 83450 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 83450 and 83460. The biggest common factor number is the GCF number.
So the greatest common factor 83450 and 83460 is 10.

Also check out the Least Common Multiple of 83450 and 83460