What is the Greatest Common Factor of 83754 and 83770?

Greatest common factor (GCF) of 83754 and 83770 is 2.

GCF(83754,83770) = 2

We will now calculate the prime factors of 83754 and 83770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83754 and 83770.

How to find the GCF of 83754 and 83770?

We will first find the prime factorization of 83754 and 83770. After we will calculate the factors of 83754 and 83770 and find the biggest common factor number .

Step-1: Prime Factorization of 83754

Prime factors of 83754 are 2, 3, 11, 47. Prime factorization of 83754 in exponential form is:

83754 = 2¹ × 3⁴ × 11¹ × 47¹

Step-2: Prime Factorization of 83770

Prime factors of 83770 are 2, 5, 8377. Prime factorization of 83770 in exponential form is:

83770 = 2¹ × 5¹ × 8377¹

Step-3: Factors of 83754

List of positive integer factors of 83754 that divides 83754 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 47, 54, 66, 81, 94, 99, 141, 162, 198, 282, 297, 423, 517, 594, 846, 891, 1034, 1269, 1551, 1782, 2538, 3102, 3807, 4653, 7614, 9306, 13959, 27918, 41877

Step-4: Factors of 83770

List of positive integer factors of 83770 that divides 83754 without a remainder.

1, 2, 5, 10, 8377, 16754, 41885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83754 and 83770. The biggest common factor number is the GCF number.
So the greatest common factor 83754 and 83770 is 2.

Also check out the Least Common Multiple of 83754 and 83770